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Finding the Third Proportional to 15,904 and 34,472

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Solution

The third proportional to 15,904 and 34,472 is: 74,718.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,904 : 34,472 = 34,472 : x
  2. Step 2: Convert to fraction form
    15,904/34,472 = 34,472/x
  3. Step 3: Cross multiply
    15,904x = 34,472 × 34,472
  4. Step 4: Simplify right side
    15,904x = 1,188,318,784
  5. Step 5: Solve for x
    x = 1,188,318,784/15,904
  6. Step 6: Final answer
    x = 74,718.23

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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.