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Finding the Third Proportional to 8,272.13 and 12,624.61

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Solution

The third proportional to 8,272.13 and 12,624.61 is: 19,267.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,272.13 : 12,624.61 = 12,624.61 : x
  2. Step 2: Convert to fraction form
    8,272.13/12,624.61 = 12,624.61/x
  3. Step 3: Cross multiply
    8,272.13x = 12,624.61 × 12,624.61
  4. Step 4: Simplify right side
    8,272.13x = 159,380,761.87
  5. Step 5: Solve for x
    x = 159,380,761.87/8,272.13
  6. Step 6: Final answer
    x = 19,267.21

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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.