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Finding the Third Proportional to 40,302 and 62,217

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Solution

The third proportional to 40,302 and 62,217 is: 96,048.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,302 : 62,217 = 62,217 : x
  2. Step 2: Convert to fraction form
    40,302/62,217 = 62,217/x
  3. Step 3: Cross multiply
    40,302x = 62,217 × 62,217
  4. Step 4: Simplify right side
    40,302x = 3,870,955,089
  5. Step 5: Solve for x
    x = 3,870,955,089/40,302
  6. Step 6: Final answer
    x = 96,048.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.