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Finding the Third Proportional to 20,349.38 and 41,688.38

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Solution

The third proportional to 20,349.38 and 41,688.38 is: 85,404.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,349.38 : 41,688.38 = 41,688.38 : x
  2. Step 2: Convert to fraction form
    20,349.38/41,688.38 = 41,688.38/x
  3. Step 3: Cross multiply
    20,349.38x = 41,688.38 × 41,688.38
  4. Step 4: Simplify right side
    20,349.38x = 1,737,920,610.14
  5. Step 5: Solve for x
    x = 1,737,920,610.14/20,349.38
  6. Step 6: Final answer
    x = 85,404.13

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.