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Finding the Third Proportional to 38,350 and 83,449

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Solution

The third proportional to 38,350 and 83,449 is: 181,583.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,350 : 83,449 = 83,449 : x
  2. Step 2: Convert to fraction form
    38,350/83,449 = 83,449/x
  3. Step 3: Cross multiply
    38,350x = 83,449 × 83,449
  4. Step 4: Simplify right side
    38,350x = 6,963,735,601
  5. Step 5: Solve for x
    x = 6,963,735,601/38,350
  6. Step 6: Final answer
    x = 181,583.72

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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.