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Finding the Third Proportional to 41,302 and 60,217

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Solution

The third proportional to 41,302 and 60,217 is: 87,794.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,302 : 60,217 = 60,217 : x
  2. Step 2: Convert to fraction form
    41,302/60,217 = 60,217/x
  3. Step 3: Cross multiply
    41,302x = 60,217 × 60,217
  4. Step 4: Simplify right side
    41,302x = 3,626,087,089
  5. Step 5: Solve for x
    x = 3,626,087,089/41,302
  6. Step 6: Final answer
    x = 87,794.47

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.