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Finding the Third Proportional to 6,769 and 12,077

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Solution

The third proportional to 6,769 and 12,077 is: 21,547.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,769 : 12,077 = 12,077 : x
  2. Step 2: Convert to fraction form
    6,769/12,077 = 12,077/x
  3. Step 3: Cross multiply
    6,769x = 12,077 × 12,077
  4. Step 4: Simplify right side
    6,769x = 145,853,929
  5. Step 5: Solve for x
    x = 145,853,929/6,769
  6. Step 6: Final answer
    x = 21,547.34

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.