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Finding the Third Proportional to 5,424 and 11,102

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Solution

The third proportional to 5,424 and 11,102 is: 22,723.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,424 : 11,102 = 11,102 : x
  2. Step 2: Convert to fraction form
    5,424/11,102 = 11,102/x
  3. Step 3: Cross multiply
    5,424x = 11,102 × 11,102
  4. Step 4: Simplify right side
    5,424x = 123,254,404
  5. Step 5: Solve for x
    x = 123,254,404/5,424
  6. Step 6: Final answer
    x = 22,723.89

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.