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Finding the Third Proportional to 39,425 and 61,217

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Solution

The third proportional to 39,425 and 61,217 is: 95,054.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,425 : 61,217 = 61,217 : x
  2. Step 2: Convert to fraction form
    39,425/61,217 = 61,217/x
  3. Step 3: Cross multiply
    39,425x = 61,217 × 61,217
  4. Step 4: Simplify right side
    39,425x = 3,747,521,089
  5. Step 5: Solve for x
    x = 3,747,521,089/39,425
  6. Step 6: Final answer
    x = 95,054.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.