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Finding the Third Proportional to 8,034.50 and 16,676.38

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Solution

The third proportional to 8,034.50 and 16,676.38 is: 34,613.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,034.50 : 16,676.38 = 16,676.38 : x
  2. Step 2: Convert to fraction form
    8,034.50/16,676.38 = 16,676.38/x
  3. Step 3: Cross multiply
    8,034.50x = 16,676.38 × 16,676.38
  4. Step 4: Simplify right side
    8,034.50x = 278,101,483.14
  5. Step 5: Solve for x
    x = 278,101,483.14/8,034.50
  6. Step 6: Final answer
    x = 34,613.42

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.