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Finding the Third Proportional to 38,008 and 87,979

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Solution

The third proportional to 38,008 and 87,979 is: 203,649.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,008 : 87,979 = 87,979 : x
  2. Step 2: Convert to fraction form
    38,008/87,979 = 87,979/x
  3. Step 3: Cross multiply
    38,008x = 87,979 × 87,979
  4. Step 4: Simplify right side
    38,008x = 7,740,304,441
  5. Step 5: Solve for x
    x = 7,740,304,441/38,008
  6. Step 6: Final answer
    x = 203,649.35

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.