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Finding the Third Proportional to 19,917.75 and 43,723.50

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Solution

The third proportional to 19,917.75 and 43,723.50 is: 95,981.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,917.75 : 43,723.50 = 43,723.50 : x
  2. Step 2: Convert to fraction form
    19,917.75/43,723.50 = 43,723.50/x
  3. Step 3: Cross multiply
    19,917.75x = 43,723.50 × 43,723.50
  4. Step 4: Simplify right side
    19,917.75x = 1,911,744,452.25
  5. Step 5: Solve for x
    x = 1,911,744,452.25/19,917.75
  6. Step 6: Final answer
    x = 95,981.95

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.