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Finding the Third Proportional to 38,856.75 and 59,043.38

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Solution

The third proportional to 38,856.75 and 59,043.38 is: 89,717.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,856.75 : 59,043.38 = 59,043.38 : x
  2. Step 2: Convert to fraction form
    38,856.75/59,043.38 = 59,043.38/x
  3. Step 3: Cross multiply
    38,856.75x = 59,043.38 × 59,043.38
  4. Step 4: Simplify right side
    38,856.75x = 3,486,120,131.39
  5. Step 5: Solve for x
    x = 3,486,120,131.39/38,856.75
  6. Step 6: Final answer
    x = 89,717.23

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.