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Finding the Third Proportional to 42,375.75 and 57,551.06

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Solution

The third proportional to 42,375.75 and 57,551.06 is: 78,160.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,375.75 : 57,551.06 = 57,551.06 : x
  2. Step 2: Convert to fraction form
    42,375.75/57,551.06 = 57,551.06/x
  3. Step 3: Cross multiply
    42,375.75x = 57,551.06 × 57,551.06
  4. Step 4: Simplify right side
    42,375.75x = 3,312,124,794.88
  5. Step 5: Solve for x
    x = 3,312,124,794.88/42,375.75
  6. Step 6: Final answer
    x = 78,160.85

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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.