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Finding the Third Proportional to 23,974.50 and 52,131.75

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Solution

The third proportional to 23,974.50 and 52,131.75 is: 113,358.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,974.50 : 52,131.75 = 52,131.75 : x
  2. Step 2: Convert to fraction form
    23,974.50/52,131.75 = 52,131.75/x
  3. Step 3: Cross multiply
    23,974.50x = 52,131.75 × 52,131.75
  4. Step 4: Simplify right side
    23,974.50x = 2,717,719,358.06
  5. Step 5: Solve for x
    x = 2,717,719,358.06/23,974.50
  6. Step 6: Final answer
    x = 113,358.75

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.