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Finding the Third Proportional to 27,744 and 59,862

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Solution

The third proportional to 27,744 and 59,862 is: 129,161.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,744 : 59,862 = 59,862 : x
  2. Step 2: Convert to fraction form
    27,744/59,862 = 59,862/x
  3. Step 3: Cross multiply
    27,744x = 59,862 × 59,862
  4. Step 4: Simplify right side
    27,744x = 3,583,459,044
  5. Step 5: Solve for x
    x = 3,583,459,044/27,744
  6. Step 6: Final answer
    x = 129,161.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.