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Finding the Third Proportional to 27,250 and 38,562

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Solution

The third proportional to 27,250 and 38,562 is: 54,569.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,250 : 38,562 = 38,562 : x
  2. Step 2: Convert to fraction form
    27,250/38,562 = 38,562/x
  3. Step 3: Cross multiply
    27,250x = 38,562 × 38,562
  4. Step 4: Simplify right side
    27,250x = 1,487,027,844
  5. Step 5: Solve for x
    x = 1,487,027,844/27,250
  6. Step 6: Final answer
    x = 54,569.83

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.