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Finding the Third Proportional to 39,414 and 85,632

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Solution

The third proportional to 39,414 and 85,632 is: 186,046.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,414 : 85,632 = 85,632 : x
  2. Step 2: Convert to fraction form
    39,414/85,632 = 85,632/x
  3. Step 3: Cross multiply
    39,414x = 85,632 × 85,632
  4. Step 4: Simplify right side
    39,414x = 7,332,839,424
  5. Step 5: Solve for x
    x = 7,332,839,424/39,414
  6. Step 6: Final answer
    x = 186,046.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.