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Finding the Third Proportional to 3,109 and 6,482

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Solution

The third proportional to 3,109 and 6,482 is: 13,514.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109 : 6,482 = 6,482 : x
  2. Step 2: Convert to fraction form
    3,109/6,482 = 6,482/x
  3. Step 3: Cross multiply
    3,109x = 6,482 × 6,482
  4. Step 4: Simplify right side
    3,109x = 42,016,324
  5. Step 5: Solve for x
    x = 42,016,324/3,109
  6. Step 6: Final answer
    x = 13,514.42

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.