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Finding the Third Proportional to 4,202.44 and 5,536.69

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Solution

The third proportional to 4,202.44 and 5,536.69 is: 7,294.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,202.44 : 5,536.69 = 5,536.69 : x
  2. Step 2: Convert to fraction form
    4,202.44/5,536.69 = 5,536.69/x
  3. Step 3: Cross multiply
    4,202.44x = 5,536.69 × 5,536.69
  4. Step 4: Simplify right side
    4,202.44x = 30,654,908.47
  5. Step 5: Solve for x
    x = 30,654,908.47/4,202.44
  6. Step 6: Final answer
    x = 7,294.55

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.