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Finding the Third Proportional to 5,669 and 6,494

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Solution

The third proportional to 5,669 and 6,494 is: 7,439.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,669 : 6,494 = 6,494 : x
  2. Step 2: Convert to fraction form
    5,669/6,494 = 6,494/x
  3. Step 3: Cross multiply
    5,669x = 6,494 × 6,494
  4. Step 4: Simplify right side
    5,669x = 42,172,036
  5. Step 5: Solve for x
    x = 42,172,036/5,669
  6. Step 6: Final answer
    x = 7,439.06

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.