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Finding the Third Proportional to 39,444 and 86,016

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Solution

The third proportional to 39,444 and 86,016 is: 187,576.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,444 : 86,016 = 86,016 : x
  2. Step 2: Convert to fraction form
    39,444/86,016 = 86,016/x
  3. Step 3: Cross multiply
    39,444x = 86,016 × 86,016
  4. Step 4: Simplify right side
    39,444x = 7,398,752,256
  5. Step 5: Solve for x
    x = 7,398,752,256/39,444
  6. Step 6: Final answer
    x = 187,576.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.