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Finding the Third Proportional to 27,614 and 59,895

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Solution

The third proportional to 27,614 and 59,895 is: 129,912.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,614 : 59,895 = 59,895 : x
  2. Step 2: Convert to fraction form
    27,614/59,895 = 59,895/x
  3. Step 3: Cross multiply
    27,614x = 59,895 × 59,895
  4. Step 4: Simplify right side
    27,614x = 3,587,411,025
  5. Step 5: Solve for x
    x = 3,587,411,025/27,614
  6. Step 6: Final answer
    x = 129,912.76

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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.