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Finding the Third Proportional to 5,357.25 and 11,519.25

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Solution

The third proportional to 5,357.25 and 11,519.25 is: 24,768.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,357.25 : 11,519.25 = 11,519.25 : x
  2. Step 2: Convert to fraction form
    5,357.25/11,519.25 = 11,519.25/x
  3. Step 3: Cross multiply
    5,357.25x = 11,519.25 × 11,519.25
  4. Step 4: Simplify right side
    5,357.25x = 132,693,120.56
  5. Step 5: Solve for x
    x = 132,693,120.56/5,357.25
  6. Step 6: Final answer
    x = 24,768.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.