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Finding the Third Proportional to 27,229.50 and 59,103

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Solution

The third proportional to 27,229.50 and 59,103 is: 128,286.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,229.50 : 59,103 = 59,103 : x
  2. Step 2: Convert to fraction form
    27,229.50/59,103 = 59,103/x
  3. Step 3: Cross multiply
    27,229.50x = 59,103 × 59,103
  4. Step 4: Simplify right side
    27,229.50x = 3,493,164,609
  5. Step 5: Solve for x
    x = 3,493,164,609/27,229.50
  6. Step 6: Final answer
    x = 128,286.04

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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.