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Finding the Third Proportional to 26,129 and 40,472

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Solution

The third proportional to 26,129 and 40,472 is: 62,688.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,129 : 40,472 = 40,472 : x
  2. Step 2: Convert to fraction form
    26,129/40,472 = 40,472/x
  3. Step 3: Cross multiply
    26,129x = 40,472 × 40,472
  4. Step 4: Simplify right side
    26,129x = 1,637,982,784
  5. Step 5: Solve for x
    x = 1,637,982,784/26,129
  6. Step 6: Final answer
    x = 62,688.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.