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Finding the Third Proportional to 8,486.46 and 12,469.89

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Solution

The third proportional to 8,486.46 and 12,469.89 is: 18,323.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,486.46 : 12,469.89 = 12,469.89 : x
  2. Step 2: Convert to fraction form
    8,486.46/12,469.89 = 12,469.89/x
  3. Step 3: Cross multiply
    8,486.46x = 12,469.89 × 12,469.89
  4. Step 4: Simplify right side
    8,486.46x = 155,498,074.78
  5. Step 5: Solve for x
    x = 155,498,074.78/8,486.46
  6. Step 6: Final answer
    x = 18,323.08

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.