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Finding the Third Proportional to 3,514 and 6,578

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Solution

The third proportional to 3,514 and 6,578 is: 12,313.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,514 : 6,578 = 6,578 : x
  2. Step 2: Convert to fraction form
    3,514/6,578 = 6,578/x
  3. Step 3: Cross multiply
    3,514x = 6,578 × 6,578
  4. Step 4: Simplify right side
    3,514x = 43,270,084
  5. Step 5: Solve for x
    x = 43,270,084/3,514
  6. Step 6: Final answer
    x = 12,313.63

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.