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Finding the Third Proportional to 38,234.25 and 89,956.13

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Solution

The third proportional to 38,234.25 and 89,956.13 is: 211,645.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,234.25 : 89,956.13 = 89,956.13 : x
  2. Step 2: Convert to fraction form
    38,234.25/89,956.13 = 89,956.13/x
  3. Step 3: Cross multiply
    38,234.25x = 89,956.13 × 89,956.13
  4. Step 4: Simplify right side
    38,234.25x = 8,092,104,425.02
  5. Step 5: Solve for x
    x = 8,092,104,425.02/38,234.25
  6. Step 6: Final answer
    x = 211,645.43

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.