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Finding the Third Proportional to 3,397 and 4,578

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Solution

The third proportional to 3,397 and 4,578 is: 6,169.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,397 : 4,578 = 4,578 : x
  2. Step 2: Convert to fraction form
    3,397/4,578 = 4,578/x
  3. Step 3: Cross multiply
    3,397x = 4,578 × 4,578
  4. Step 4: Simplify right side
    3,397x = 20,958,084
  5. Step 5: Solve for x
    x = 20,958,084/3,397
  6. Step 6: Final answer
    x = 6,169.59

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.