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Finding the Third Proportional to 8,206.13 and 12,306.38

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Solution

The third proportional to 8,206.13 and 12,306.38 is: 18,455.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,206.13 : 12,306.38 = 12,306.38 : x
  2. Step 2: Convert to fraction form
    8,206.13/12,306.38 = 12,306.38/x
  3. Step 3: Cross multiply
    8,206.13x = 12,306.38 × 12,306.38
  4. Step 4: Simplify right side
    8,206.13x = 151,446,865.64
  5. Step 5: Solve for x
    x = 151,446,865.64/8,206.13
  6. Step 6: Final answer
    x = 18,455.34

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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.