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Finding the Third Proportional to 3,377.46 and 5,395.59

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Solution

The third proportional to 3,377.46 and 5,395.59 is: 8,619.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,377.46 : 5,395.59 = 5,395.59 : x
  2. Step 2: Convert to fraction form
    3,377.46/5,395.59 = 5,395.59/x
  3. Step 3: Cross multiply
    3,377.46x = 5,395.59 × 5,395.59
  4. Step 4: Simplify right side
    3,377.46x = 29,112,431.92
  5. Step 5: Solve for x
    x = 29,112,431.92/3,377.46
  6. Step 6: Final answer
    x = 8,619.62

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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.