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Finding the Third Proportional to 15,350 and 23,025

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Solution

The third proportional to 15,350 and 23,025 is: 34,537.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,350 : 23,025 = 23,025 : x
  2. Step 2: Convert to fraction form
    15,350/23,025 = 23,025/x
  3. Step 3: Cross multiply
    15,350x = 23,025 × 23,025
  4. Step 4: Simplify right side
    15,350x = 530,150,625
  5. Step 5: Solve for x
    x = 530,150,625/15,350
  6. Step 6: Final answer
    x = 34,537.50

Related Problems

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.