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Finding the Third Proportional to 7,981.03 and 11,789.30

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Solution

The third proportional to 7,981.03 and 11,789.30 is: 17,414.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,981.03 : 11,789.30 = 11,789.30 : x
  2. Step 2: Convert to fraction form
    7,981.03/11,789.30 = 11,789.30/x
  3. Step 3: Cross multiply
    7,981.03x = 11,789.30 × 11,789.30
  4. Step 4: Simplify right side
    7,981.03x = 138,987,520.81
  5. Step 5: Solve for x
    x = 138,987,520.81/7,981.03
  6. Step 6: Final answer
    x = 17,414.73

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.