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Finding the Third Proportional to 20,472.75 and 41,239.13

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Solution

The third proportional to 20,472.75 and 41,239.13 is: 83,069.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,472.75 : 41,239.13 = 41,239.13 : x
  2. Step 2: Convert to fraction form
    20,472.75/41,239.13 = 41,239.13/x
  3. Step 3: Cross multiply
    20,472.75x = 41,239.13 × 41,239.13
  4. Step 4: Simplify right side
    20,472.75x = 1,700,665,430.77
  5. Step 5: Solve for x
    x = 1,700,665,430.77/20,472.75
  6. Step 6: Final answer
    x = 83,069.71

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Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.