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Finding the Third Proportional to 24,725.25 and 54,978.75

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Solution

The third proportional to 24,725.25 and 54,978.75 is: 122,250.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,725.25 : 54,978.75 = 54,978.75 : x
  2. Step 2: Convert to fraction form
    24,725.25/54,978.75 = 54,978.75/x
  3. Step 3: Cross multiply
    24,725.25x = 54,978.75 × 54,978.75
  4. Step 4: Simplify right side
    24,725.25x = 3,022,662,951.56
  5. Step 5: Solve for x
    x = 3,022,662,951.56/24,725.25
  6. Step 6: Final answer
    x = 122,250.05

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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.