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Finding the Third Proportional to 5,221 and 11,262.88

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Solution

The third proportional to 5,221 and 11,262.88 is: 24,296.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,221 : 11,262.88 = 11,262.88 : x
  2. Step 2: Convert to fraction form
    5,221/11,262.88 = 11,262.88/x
  3. Step 3: Cross multiply
    5,221x = 11,262.88 × 11,262.88
  4. Step 4: Simplify right side
    5,221x = 126,852,353.27
  5. Step 5: Solve for x
    x = 126,852,353.27/5,221
  6. Step 6: Final answer
    x = 24,296.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.