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Finding the Third Proportional to 5,609.38 and 12,147.38

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Solution

The third proportional to 5,609.38 and 12,147.38 is: 26,305.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,609.38 : 12,147.38 = 12,147.38 : x
  2. Step 2: Convert to fraction form
    5,609.38/12,147.38 = 12,147.38/x
  3. Step 3: Cross multiply
    5,609.38x = 12,147.38 × 12,147.38
  4. Step 4: Simplify right side
    5,609.38x = 147,558,719.39
  5. Step 5: Solve for x
    x = 147,558,719.39/5,609.38
  6. Step 6: Final answer
    x = 26,305.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.