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Finding the Third Proportional to 40,717.05 and 62,286.47

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Solution

The third proportional to 40,717.05 and 62,286.47 is: 95,282.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,717.05 : 62,286.47 = 62,286.47 : x
  2. Step 2: Convert to fraction form
    40,717.05/62,286.47 = 62,286.47/x
  3. Step 3: Cross multiply
    40,717.05x = 62,286.47 × 62,286.47
  4. Step 4: Simplify right side
    40,717.05x = 3,879,604,189.34
  5. Step 5: Solve for x
    x = 3,879,604,189.34/40,717.05
  6. Step 6: Final answer
    x = 95,282.04

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.