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Finding the Third Proportional to 15,193.75 and 23,000.25

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Solution

The third proportional to 15,193.75 and 23,000.25 is: 34,817.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,193.75 : 23,000.25 = 23,000.25 : x
  2. Step 2: Convert to fraction form
    15,193.75/23,000.25 = 23,000.25/x
  3. Step 3: Cross multiply
    15,193.75x = 23,000.25 × 23,000.25
  4. Step 4: Simplify right side
    15,193.75x = 529,011,500.06
  5. Step 5: Solve for x
    x = 529,011,500.06/15,193.75
  6. Step 6: Final answer
    x = 34,817.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.