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Finding the Third Proportional to 38,324 and 83,398

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Solution

The third proportional to 38,324 and 83,398 is: 181,484.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,324 : 83,398 = 83,398 : x
  2. Step 2: Convert to fraction form
    38,324/83,398 = 83,398/x
  3. Step 3: Cross multiply
    38,324x = 83,398 × 83,398
  4. Step 4: Simplify right side
    38,324x = 6,955,226,404
  5. Step 5: Solve for x
    x = 6,955,226,404/38,324
  6. Step 6: Final answer
    x = 181,484.88

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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.