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Finding the Third Proportional to 8,841.38 and 19,243.69

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Solution

The third proportional to 8,841.38 and 19,243.69 is: 41,884.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,841.38 : 19,243.69 = 19,243.69 : x
  2. Step 2: Convert to fraction form
    8,841.38/19,243.69 = 19,243.69/x
  3. Step 3: Cross multiply
    8,841.38x = 19,243.69 × 19,243.69
  4. Step 4: Simplify right side
    8,841.38x = 370,319,508.60
  5. Step 5: Solve for x
    x = 370,319,508.60/8,841.38
  6. Step 6: Final answer
    x = 41,884.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.