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Finding the Third Proportional to 27,560 and 60,397

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Solution

The third proportional to 27,560 and 60,397 is: 132,358.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,560 : 60,397 = 60,397 : x
  2. Step 2: Convert to fraction form
    27,560/60,397 = 60,397/x
  3. Step 3: Cross multiply
    27,560x = 60,397 × 60,397
  4. Step 4: Simplify right side
    27,560x = 3,647,797,609
  5. Step 5: Solve for x
    x = 3,647,797,609/27,560
  6. Step 6: Final answer
    x = 132,358.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.