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Finding the Third Proportional to 55,695.75 and 74,241.38

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Solution

The third proportional to 55,695.75 and 74,241.38 is: 98,962.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,695.75 : 74,241.38 = 74,241.38 : x
  2. Step 2: Convert to fraction form
    55,695.75/74,241.38 = 74,241.38/x
  3. Step 3: Cross multiply
    55,695.75x = 74,241.38 × 74,241.38
  4. Step 4: Simplify right side
    55,695.75x = 5,511,781,761.89
  5. Step 5: Solve for x
    x = 5,511,781,761.89/55,695.75
  6. Step 6: Final answer
    x = 98,962.34

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.