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Finding the Third Proportional to 3,591.84 and 5,463.70

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Solution

The third proportional to 3,591.84 and 5,463.70 is: 8,311.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,591.84 : 5,463.70 = 5,463.70 : x
  2. Step 2: Convert to fraction form
    3,591.84/5,463.70 = 5,463.70/x
  3. Step 3: Cross multiply
    3,591.84x = 5,463.70 × 5,463.70
  4. Step 4: Simplify right side
    3,591.84x = 29,852,051.84
  5. Step 5: Solve for x
    x = 29,852,051.84/3,591.84
  6. Step 6: Final answer
    x = 8,311.07

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.