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Finding the Third Proportional to 38,332 and 83,414

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Solution

The third proportional to 38,332 and 83,414 is: 181,516.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,332 : 83,414 = 83,414 : x
  2. Step 2: Convert to fraction form
    38,332/83,414 = 83,414/x
  3. Step 3: Cross multiply
    38,332x = 83,414 × 83,414
  4. Step 4: Simplify right side
    38,332x = 6,957,895,396
  5. Step 5: Solve for x
    x = 6,957,895,396/38,332
  6. Step 6: Final answer
    x = 181,516.63

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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.