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Finding the Third Proportional to 41,278.50 and 57,435.75

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Solution

The third proportional to 41,278.50 and 57,435.75 is: 79,917.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,278.50 : 57,435.75 = 57,435.75 : x
  2. Step 2: Convert to fraction form
    41,278.50/57,435.75 = 57,435.75/x
  3. Step 3: Cross multiply
    41,278.50x = 57,435.75 × 57,435.75
  4. Step 4: Simplify right side
    41,278.50x = 3,298,865,378.06
  5. Step 5: Solve for x
    x = 3,298,865,378.06/41,278.50
  6. Step 6: Final answer
    x = 79,917.28

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.