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Finding the Third Proportional to 27,675 and 62,424

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Solution

The third proportional to 27,675 and 62,424 is: 140,804.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,675 : 62,424 = 62,424 : x
  2. Step 2: Convert to fraction form
    27,675/62,424 = 62,424/x
  3. Step 3: Cross multiply
    27,675x = 62,424 × 62,424
  4. Step 4: Simplify right side
    27,675x = 3,896,755,776
  5. Step 5: Solve for x
    x = 3,896,755,776/27,675
  6. Step 6: Final answer
    x = 140,804.18

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.