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Finding the Third Proportional to 20,182.29 and 41,372.65

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Solution

The third proportional to 20,182.29 and 41,372.65 is: 84,811.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,182.29 : 41,372.65 = 41,372.65 : x
  2. Step 2: Convert to fraction form
    20,182.29/41,372.65 = 41,372.65/x
  3. Step 3: Cross multiply
    20,182.29x = 41,372.65 × 41,372.65
  4. Step 4: Simplify right side
    20,182.29x = 1,711,696,038.73
  5. Step 5: Solve for x
    x = 1,711,696,038.73/20,182.29
  6. Step 6: Final answer
    x = 84,811.79

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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.