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Finding the Third Proportional to 42,446.25 and 57,441.38

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Solution

The third proportional to 42,446.25 and 57,441.38 is: 77,733.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,446.25 : 57,441.38 = 57,441.38 : x
  2. Step 2: Convert to fraction form
    42,446.25/57,441.38 = 57,441.38/x
  3. Step 3: Cross multiply
    42,446.25x = 57,441.38 × 57,441.38
  4. Step 4: Simplify right side
    42,446.25x = 3,299,511,561.89
  5. Step 5: Solve for x
    x = 3,299,511,561.89/42,446.25
  6. Step 6: Final answer
    x = 77,733.88

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.