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Finding the Third Proportional to 9,820 and 15,025

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Solution

The third proportional to 9,820 and 15,025 is: 22,988.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,820 : 15,025 = 15,025 : x
  2. Step 2: Convert to fraction form
    9,820/15,025 = 15,025/x
  3. Step 3: Cross multiply
    9,820x = 15,025 × 15,025
  4. Step 4: Simplify right side
    9,820x = 225,750,625
  5. Step 5: Solve for x
    x = 225,750,625/9,820
  6. Step 6: Final answer
    x = 22,988.86

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.