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Finding the Third Proportional to 3,366.31 and 5,377.88

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Solution

The third proportional to 3,366.31 and 5,377.88 is: 8,591.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,366.31 : 5,377.88 = 5,377.88 : x
  2. Step 2: Convert to fraction form
    3,366.31/5,377.88 = 5,377.88/x
  3. Step 3: Cross multiply
    3,366.31x = 5,377.88 × 5,377.88
  4. Step 4: Simplify right side
    3,366.31x = 28,921,639.99
  5. Step 5: Solve for x
    x = 28,921,639.99/3,366.31
  6. Step 6: Final answer
    x = 8,591.50

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.