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Finding the Third Proportional to 5,248.69 and 11,089.69

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Solution

The third proportional to 5,248.69 and 11,089.69 is: 23,430.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,248.69 : 11,089.69 = 11,089.69 : x
  2. Step 2: Convert to fraction form
    5,248.69/11,089.69 = 11,089.69/x
  3. Step 3: Cross multiply
    5,248.69x = 11,089.69 × 11,089.69
  4. Step 4: Simplify right side
    5,248.69x = 122,981,168.85
  5. Step 5: Solve for x
    x = 122,981,168.85/5,248.69
  6. Step 6: Final answer
    x = 23,430.84

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.