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Finding the Third Proportional to 20,147 and 40,688

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Solution

The third proportional to 20,147 and 40,688 is: 82,171.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,147 : 40,688 = 40,688 : x
  2. Step 2: Convert to fraction form
    20,147/40,688 = 40,688/x
  3. Step 3: Cross multiply
    20,147x = 40,688 × 40,688
  4. Step 4: Simplify right side
    20,147x = 1,655,513,344
  5. Step 5: Solve for x
    x = 1,655,513,344/20,147
  6. Step 6: Final answer
    x = 82,171.71

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.