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Finding the Third Proportional to 7,743 and 11,864.50

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Solution

The third proportional to 7,743 and 11,864.50 is: 18,179.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,743 : 11,864.50 = 11,864.50 : x
  2. Step 2: Convert to fraction form
    7,743/11,864.50 = 11,864.50/x
  3. Step 3: Cross multiply
    7,743x = 11,864.50 × 11,864.50
  4. Step 4: Simplify right side
    7,743x = 140,766,360.25
  5. Step 5: Solve for x
    x = 140,766,360.25/7,743
  6. Step 6: Final answer
    x = 18,179.82

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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.