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Finding the Third Proportional to 27,498 and 42,651

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Solution

The third proportional to 27,498 and 42,651 is: 66,154.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,498 : 42,651 = 42,651 : x
  2. Step 2: Convert to fraction form
    27,498/42,651 = 42,651/x
  3. Step 3: Cross multiply
    27,498x = 42,651 × 42,651
  4. Step 4: Simplify right side
    27,498x = 1,819,107,801
  5. Step 5: Solve for x
    x = 1,819,107,801/27,498
  6. Step 6: Final answer
    x = 66,154.19

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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.