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Finding the Third Proportional to 24,977.25 and 37,086.75

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Solution

The third proportional to 24,977.25 and 37,086.75 is: 55,067.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,977.25 : 37,086.75 = 37,086.75 : x
  2. Step 2: Convert to fraction form
    24,977.25/37,086.75 = 37,086.75/x
  3. Step 3: Cross multiply
    24,977.25x = 37,086.75 × 37,086.75
  4. Step 4: Simplify right side
    24,977.25x = 1,375,427,025.56
  5. Step 5: Solve for x
    x = 1,375,427,025.56/24,977.25
  6. Step 6: Final answer
    x = 55,067.19

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.