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Finding the Third Proportional to 41,481 and 56,250

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Solution

The third proportional to 41,481 and 56,250 is: 76,277.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,481 : 56,250 = 56,250 : x
  2. Step 2: Convert to fraction form
    41,481/56,250 = 56,250/x
  3. Step 3: Cross multiply
    41,481x = 56,250 × 56,250
  4. Step 4: Simplify right side
    41,481x = 3,164,062,500
  5. Step 5: Solve for x
    x = 3,164,062,500/41,481
  6. Step 6: Final answer
    x = 76,277.39

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.