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Finding the Third Proportional to 38,239.97 and 82,015.88

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Solution

The third proportional to 38,239.97 and 82,015.88 is: 175,905.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,239.97 : 82,015.88 = 82,015.88 : x
  2. Step 2: Convert to fraction form
    38,239.97/82,015.88 = 82,015.88/x
  3. Step 3: Cross multiply
    38,239.97x = 82,015.88 × 82,015.88
  4. Step 4: Simplify right side
    38,239.97x = 6,726,603,752.02
  5. Step 5: Solve for x
    x = 6,726,603,752.02/38,239.97
  6. Step 6: Final answer
    x = 175,905.05

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.