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Finding the Third Proportional to 8,305.03 and 11,188.76

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Solution

The third proportional to 8,305.03 and 11,188.76 is: 15,073.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,305.03 : 11,188.76 = 11,188.76 : x
  2. Step 2: Convert to fraction form
    8,305.03/11,188.76 = 11,188.76/x
  3. Step 3: Cross multiply
    8,305.03x = 11,188.76 × 11,188.76
  4. Step 4: Simplify right side
    8,305.03x = 125,188,301.39
  5. Step 5: Solve for x
    x = 125,188,301.39/8,305.03
  6. Step 6: Final answer
    x = 15,073.79

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.