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Finding the Third Proportional to 39,872 and 82,334

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Solution

The third proportional to 39,872 and 82,334 is: 170,016.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,872 : 82,334 = 82,334 : x
  2. Step 2: Convert to fraction form
    39,872/82,334 = 82,334/x
  3. Step 3: Cross multiply
    39,872x = 82,334 × 82,334
  4. Step 4: Simplify right side
    39,872x = 6,778,887,556
  5. Step 5: Solve for x
    x = 6,778,887,556/39,872
  6. Step 6: Final answer
    x = 170,016.24

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.