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Finding the Third Proportional to 3,115 and 6,494

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Solution

The third proportional to 3,115 and 6,494 is: 13,538.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,115 : 6,494 = 6,494 : x
  2. Step 2: Convert to fraction form
    3,115/6,494 = 6,494/x
  3. Step 3: Cross multiply
    3,115x = 6,494 × 6,494
  4. Step 4: Simplify right side
    3,115x = 42,172,036
  5. Step 5: Solve for x
    x = 42,172,036/3,115
  6. Step 6: Final answer
    x = 13,538.37

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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.