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Finding the Third Proportional to 5,424.05 and 10,998.70

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Solution

The third proportional to 5,424.05 and 10,998.70 is: 22,302.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,424.05 : 10,998.70 = 10,998.70 : x
  2. Step 2: Convert to fraction form
    5,424.05/10,998.70 = 10,998.70/x
  3. Step 3: Cross multiply
    5,424.05x = 10,998.70 × 10,998.70
  4. Step 4: Simplify right side
    5,424.05x = 120,971,470.43
  5. Step 5: Solve for x
    x = 120,971,470.43/5,424.05
  6. Step 6: Final answer
    x = 22,302.81

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.