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Finding the Third Proportional to 10,768 and 11,920

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Solution

The third proportional to 10,768 and 11,920 is: 13,195.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,768 : 11,920 = 11,920 : x
  2. Step 2: Convert to fraction form
    10,768/11,920 = 11,920/x
  3. Step 3: Cross multiply
    10,768x = 11,920 × 11,920
  4. Step 4: Simplify right side
    10,768x = 142,086,400
  5. Step 5: Solve for x
    x = 142,086,400/10,768
  6. Step 6: Final answer
    x = 13,195.25

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.