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Finding the Third Proportional to 2,866 and 6,749

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Solution

The third proportional to 2,866 and 6,749 is: 15,892.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866 : 6,749 = 6,749 : x
  2. Step 2: Convert to fraction form
    2,866/6,749 = 6,749/x
  3. Step 3: Cross multiply
    2,866x = 6,749 × 6,749
  4. Step 4: Simplify right side
    2,866x = 45,549,001
  5. Step 5: Solve for x
    x = 45,549,001/2,866
  6. Step 6: Final answer
    x = 15,892.88

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.