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Finding the Third Proportional to 5,424 and 10,999.13

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Solution

The third proportional to 5,424 and 10,999.13 is: 22,304.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,424 : 10,999.13 = 10,999.13 : x
  2. Step 2: Convert to fraction form
    5,424/10,999.13 = 10,999.13/x
  3. Step 3: Cross multiply
    5,424x = 10,999.13 × 10,999.13
  4. Step 4: Simplify right side
    5,424x = 120,980,750.77
  5. Step 5: Solve for x
    x = 120,980,750.77/5,424
  6. Step 6: Final answer
    x = 22,304.71

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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.