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Finding the Third Proportional to 2,909 and 5,668

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Solution

The third proportional to 2,909 and 5,668 is: 11,043.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909 : 5,668 = 5,668 : x
  2. Step 2: Convert to fraction form
    2,909/5,668 = 5,668/x
  3. Step 3: Cross multiply
    2,909x = 5,668 × 5,668
  4. Step 4: Simplify right side
    2,909x = 32,126,224
  5. Step 5: Solve for x
    x = 32,126,224/2,909
  6. Step 6: Final answer
    x = 11,043.73

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.