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Finding the Third Proportional to 3,440.53 and 5,467.78

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Solution

The third proportional to 3,440.53 and 5,467.78 is: 8,689.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,440.53 : 5,467.78 = 5,467.78 : x
  2. Step 2: Convert to fraction form
    3,440.53/5,467.78 = 5,467.78/x
  3. Step 3: Cross multiply
    3,440.53x = 5,467.78 × 5,467.78
  4. Step 4: Simplify right side
    3,440.53x = 29,896,631.80
  5. Step 5: Solve for x
    x = 29,896,631.80/3,440.53
  6. Step 6: Final answer
    x = 8,689.54

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.