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Finding the Third Proportional to 19,974.75 and 43,708.13

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Solution

The third proportional to 19,974.75 and 43,708.13 is: 95,640.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,974.75 : 43,708.13 = 43,708.13 : x
  2. Step 2: Convert to fraction form
    19,974.75/43,708.13 = 43,708.13/x
  3. Step 3: Cross multiply
    19,974.75x = 43,708.13 × 43,708.13
  4. Step 4: Simplify right side
    19,974.75x = 1,910,400,191.02
  5. Step 5: Solve for x
    x = 1,910,400,191.02/19,974.75
  6. Step 6: Final answer
    x = 95,640.76

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.