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Finding the Third Proportional to 41,086.50 and 58,713.75

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Solution

The third proportional to 41,086.50 and 58,713.75 is: 83,903.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,086.50 : 58,713.75 = 58,713.75 : x
  2. Step 2: Convert to fraction form
    41,086.50/58,713.75 = 58,713.75/x
  3. Step 3: Cross multiply
    41,086.50x = 58,713.75 × 58,713.75
  4. Step 4: Simplify right side
    41,086.50x = 3,447,304,439.06
  5. Step 5: Solve for x
    x = 3,447,304,439.06/41,086.50
  6. Step 6: Final answer
    x = 83,903.58

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.