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Finding the Third Proportional to 8,679.66 and 14,249.67

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Solution

The third proportional to 8,679.66 and 14,249.67 is: 23,394.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,679.66 : 14,249.67 = 14,249.67 : x
  2. Step 2: Convert to fraction form
    8,679.66/14,249.67 = 14,249.67/x
  3. Step 3: Cross multiply
    8,679.66x = 14,249.67 × 14,249.67
  4. Step 4: Simplify right side
    8,679.66x = 203,053,148.55
  5. Step 5: Solve for x
    x = 203,053,148.55/8,679.66
  6. Step 6: Final answer
    x = 23,394.15

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.