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Finding the Third Proportional to 27,551 and 59,680

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Solution

The third proportional to 27,551 and 59,680 is: 129,276.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,551 : 59,680 = 59,680 : x
  2. Step 2: Convert to fraction form
    27,551/59,680 = 59,680/x
  3. Step 3: Cross multiply
    27,551x = 59,680 × 59,680
  4. Step 4: Simplify right side
    27,551x = 3,561,702,400
  5. Step 5: Solve for x
    x = 3,561,702,400/27,551
  6. Step 6: Final answer
    x = 129,276.70

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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.