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Finding the Third Proportional to 5,819.66 and 8,729.96

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Solution

The third proportional to 5,819.66 and 8,729.96 is: 13,095.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,819.66 : 8,729.96 = 8,729.96 : x
  2. Step 2: Convert to fraction form
    5,819.66/8,729.96 = 8,729.96/x
  3. Step 3: Cross multiply
    5,819.66x = 8,729.96 × 8,729.96
  4. Step 4: Simplify right side
    5,819.66x = 76,212,286.17
  5. Step 5: Solve for x
    x = 76,212,286.17/5,819.66
  6. Step 6: Final answer
    x = 13,095.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.