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Finding the Third Proportional to 15,972.19 and 34,732.13

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Solution

The third proportional to 15,972.19 and 34,732.13 is: 75,526.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,972.19 : 34,732.13 = 34,732.13 : x
  2. Step 2: Convert to fraction form
    15,972.19/34,732.13 = 34,732.13/x
  3. Step 3: Cross multiply
    15,972.19x = 34,732.13 × 34,732.13
  4. Step 4: Simplify right side
    15,972.19x = 1,206,320,507.02
  5. Step 5: Solve for x
    x = 1,206,320,507.02/15,972.19
  6. Step 6: Final answer
    x = 75,526.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.