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Finding the Third Proportional to 24,563.25 and 57,738.38

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Solution

The third proportional to 24,563.25 and 57,738.38 is: 135,719.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,563.25 : 57,738.38 = 57,738.38 : x
  2. Step 2: Convert to fraction form
    24,563.25/57,738.38 = 57,738.38/x
  3. Step 3: Cross multiply
    24,563.25x = 57,738.38 × 57,738.38
  4. Step 4: Simplify right side
    24,563.25x = 3,333,719,947.64
  5. Step 5: Solve for x
    x = 3,333,719,947.64/24,563.25
  6. Step 6: Final answer
    x = 135,719.82

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.