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Finding the Third Proportional to 2,747 and 6,481

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Solution

The third proportional to 2,747 and 6,481 is: 15,290.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,747 : 6,481 = 6,481 : x
  2. Step 2: Convert to fraction form
    2,747/6,481 = 6,481/x
  3. Step 3: Cross multiply
    2,747x = 6,481 × 6,481
  4. Step 4: Simplify right side
    2,747x = 42,003,361
  5. Step 5: Solve for x
    x = 42,003,361/2,747
  6. Step 6: Final answer
    x = 15,290.63

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.