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Finding the Third Proportional to 19,723.50 and 42,454.13

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Solution

The third proportional to 19,723.50 and 42,454.13 is: 91,380.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,723.50 : 42,454.13 = 42,454.13 : x
  2. Step 2: Convert to fraction form
    19,723.50/42,454.13 = 42,454.13/x
  3. Step 3: Cross multiply
    19,723.50x = 42,454.13 × 42,454.13
  4. Step 4: Simplify right side
    19,723.50x = 1,802,352,729.52
  5. Step 5: Solve for x
    x = 1,802,352,729.52/19,723.50
  6. Step 6: Final answer
    x = 91,380.98

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.