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Finding the Third Proportional to 7,677 and 11,738

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Solution

The third proportional to 7,677 and 11,738 is: 17,947.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,677 : 11,738 = 11,738 : x
  2. Step 2: Convert to fraction form
    7,677/11,738 = 11,738/x
  3. Step 3: Cross multiply
    7,677x = 11,738 × 11,738
  4. Step 4: Simplify right side
    7,677x = 137,780,644
  5. Step 5: Solve for x
    x = 137,780,644/7,677
  6. Step 6: Final answer
    x = 17,947.20

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.