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Finding the Third Proportional to 27,789 and 60,680

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Solution

The third proportional to 27,789 and 60,680 is: 132,500.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,789 : 60,680 = 60,680 : x
  2. Step 2: Convert to fraction form
    27,789/60,680 = 60,680/x
  3. Step 3: Cross multiply
    27,789x = 60,680 × 60,680
  4. Step 4: Simplify right side
    27,789x = 3,682,062,400
  5. Step 5: Solve for x
    x = 3,682,062,400/27,789
  6. Step 6: Final answer
    x = 132,500.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.