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Finding the Third Proportional to 5,691 and 11,769

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Solution

The third proportional to 5,691 and 11,769 is: 24,338.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,691 : 11,769 = 11,769 : x
  2. Step 2: Convert to fraction form
    5,691/11,769 = 11,769/x
  3. Step 3: Cross multiply
    5,691x = 11,769 × 11,769
  4. Step 4: Simplify right side
    5,691x = 138,509,361
  5. Step 5: Solve for x
    x = 138,509,361/5,691
  6. Step 6: Final answer
    x = 24,338.32

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.