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Finding the Third Proportional to 3,005 and 6,481

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Solution

The third proportional to 3,005 and 6,481 is: 13,977.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005 : 6,481 = 6,481 : x
  2. Step 2: Convert to fraction form
    3,005/6,481 = 6,481/x
  3. Step 3: Cross multiply
    3,005x = 6,481 × 6,481
  4. Step 4: Simplify right side
    3,005x = 42,003,361
  5. Step 5: Solve for x
    x = 42,003,361/3,005
  6. Step 6: Final answer
    x = 13,977.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.