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Finding the Third Proportional to 38,474 and 83,509

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Solution

The third proportional to 38,474 and 83,509 is: 181,258.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,474 : 83,509 = 83,509 : x
  2. Step 2: Convert to fraction form
    38,474/83,509 = 83,509/x
  3. Step 3: Cross multiply
    38,474x = 83,509 × 83,509
  4. Step 4: Simplify right side
    38,474x = 6,973,753,081
  5. Step 5: Solve for x
    x = 6,973,753,081/38,474
  6. Step 6: Final answer
    x = 181,258.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.