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Finding the Third Proportional to 42,447.75 and 57,443.25

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Solution

The third proportional to 42,447.75 and 57,443.25 is: 77,736.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,447.75 : 57,443.25 = 57,443.25 : x
  2. Step 2: Convert to fraction form
    42,447.75/57,443.25 = 57,443.25/x
  3. Step 3: Cross multiply
    42,447.75x = 57,443.25 × 57,443.25
  4. Step 4: Simplify right side
    42,447.75x = 3,299,726,970.56
  5. Step 5: Solve for x
    x = 3,299,726,970.56/42,447.75
  6. Step 6: Final answer
    x = 77,736.20

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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.