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Finding the Third Proportional to 27,744 and 60,424

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Solution

The third proportional to 27,744 and 60,424 is: 131,598.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,744 : 60,424 = 60,424 : x
  2. Step 2: Convert to fraction form
    27,744/60,424 = 60,424/x
  3. Step 3: Cross multiply
    27,744x = 60,424 × 60,424
  4. Step 4: Simplify right side
    27,744x = 3,651,059,776
  5. Step 5: Solve for x
    x = 3,651,059,776/27,744
  6. Step 6: Final answer
    x = 131,598.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.