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Finding the Third Proportional to 25,442.25 and 56,439.75

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Solution

The third proportional to 25,442.25 and 56,439.75 is: 125,202.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,442.25 : 56,439.75 = 56,439.75 : x
  2. Step 2: Convert to fraction form
    25,442.25/56,439.75 = 56,439.75/x
  3. Step 3: Cross multiply
    25,442.25x = 56,439.75 × 56,439.75
  4. Step 4: Simplify right side
    25,442.25x = 3,185,445,380.06
  5. Step 5: Solve for x
    x = 3,185,445,380.06/25,442.25
  6. Step 6: Final answer
    x = 125,202.97

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.