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Finding the Third Proportional to 27,540 and 59,751

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Solution

The third proportional to 27,540 and 59,751 is: 129,636.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,540 : 59,751 = 59,751 : x
  2. Step 2: Convert to fraction form
    27,540/59,751 = 59,751/x
  3. Step 3: Cross multiply
    27,540x = 59,751 × 59,751
  4. Step 4: Simplify right side
    27,540x = 3,570,182,001
  5. Step 5: Solve for x
    x = 3,570,182,001/27,540
  6. Step 6: Final answer
    x = 129,636.24

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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.