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Finding the Third Proportional to 41,287 and 57,447.50

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Solution

The third proportional to 41,287 and 57,447.50 is: 79,933.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,287 : 57,447.50 = 57,447.50 : x
  2. Step 2: Convert to fraction form
    41,287/57,447.50 = 57,447.50/x
  3. Step 3: Cross multiply
    41,287x = 57,447.50 × 57,447.50
  4. Step 4: Simplify right side
    41,287x = 3,300,215,256.25
  5. Step 5: Solve for x
    x = 3,300,215,256.25/41,287
  6. Step 6: Final answer
    x = 79,933.52

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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.