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Finding the Third Proportional to 41,742.50 and 61,115.25

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Solution

The third proportional to 41,742.50 and 61,115.25 is: 89,478.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,742.50 : 61,115.25 = 61,115.25 : x
  2. Step 2: Convert to fraction form
    41,742.50/61,115.25 = 61,115.25/x
  3. Step 3: Cross multiply
    41,742.50x = 61,115.25 × 61,115.25
  4. Step 4: Simplify right side
    41,742.50x = 3,735,073,782.56
  5. Step 5: Solve for x
    x = 3,735,073,782.56/41,742.50
  6. Step 6: Final answer
    x = 89,478.92

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.