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Finding the Third Proportional to 28,197 and 43,591.50

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Solution

The third proportional to 28,197 and 43,591.50 is: 67,390.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,197 : 43,591.50 = 43,591.50 : x
  2. Step 2: Convert to fraction form
    28,197/43,591.50 = 43,591.50/x
  3. Step 3: Cross multiply
    28,197x = 43,591.50 × 43,591.50
  4. Step 4: Simplify right side
    28,197x = 1,900,218,872.25
  5. Step 5: Solve for x
    x = 1,900,218,872.25/28,197
  6. Step 6: Final answer
    x = 67,390.82

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.