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Finding the Third Proportional to 19,772 and 43,191.50

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Solution

The third proportional to 19,772 and 43,191.50 is: 94,350.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,772 : 43,191.50 = 43,191.50 : x
  2. Step 2: Convert to fraction form
    19,772/43,191.50 = 43,191.50/x
  3. Step 3: Cross multiply
    19,772x = 43,191.50 × 43,191.50
  4. Step 4: Simplify right side
    19,772x = 1,865,505,672.25
  5. Step 5: Solve for x
    x = 1,865,505,672.25/19,772
  6. Step 6: Final answer
    x = 94,350.88

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.