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Finding the Third Proportional to 39,474.50 and 59,091.75

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Solution

The third proportional to 39,474.50 and 59,091.75 is: 88,457.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,474.50 : 59,091.75 = 59,091.75 : x
  2. Step 2: Convert to fraction form
    39,474.50/59,091.75 = 59,091.75/x
  3. Step 3: Cross multiply
    39,474.50x = 59,091.75 × 59,091.75
  4. Step 4: Simplify right side
    39,474.50x = 3,491,834,918.06
  5. Step 5: Solve for x
    x = 3,491,834,918.06/39,474.50
  6. Step 6: Final answer
    x = 88,457.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.