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Finding the Third Proportional to 27,753 and 59,939

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Solution

The third proportional to 27,753 and 59,939 is: 129,452.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,753 : 59,939 = 59,939 : x
  2. Step 2: Convert to fraction form
    27,753/59,939 = 59,939/x
  3. Step 3: Cross multiply
    27,753x = 59,939 × 59,939
  4. Step 4: Simplify right side
    27,753x = 3,592,683,721
  5. Step 5: Solve for x
    x = 3,592,683,721/27,753
  6. Step 6: Final answer
    x = 129,452.09

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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.