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Finding the Third Proportional to 20,217 and 31,555

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Solution

The third proportional to 20,217 and 31,555 is: 49,251.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,217 : 31,555 = 31,555 : x
  2. Step 2: Convert to fraction form
    20,217/31,555 = 31,555/x
  3. Step 3: Cross multiply
    20,217x = 31,555 × 31,555
  4. Step 4: Simplify right side
    20,217x = 995,718,025
  5. Step 5: Solve for x
    x = 995,718,025/20,217
  6. Step 6: Final answer
    x = 49,251.52

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.