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Finding the Third Proportional to 4,202.13 and 5,521.88

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Solution

The third proportional to 4,202.13 and 5,521.88 is: 7,256.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,202.13 : 5,521.88 = 5,521.88 : x
  2. Step 2: Convert to fraction form
    4,202.13/5,521.88 = 5,521.88/x
  3. Step 3: Cross multiply
    4,202.13x = 5,521.88 × 5,521.88
  4. Step 4: Simplify right side
    4,202.13x = 30,491,103.52
  5. Step 5: Solve for x
    x = 30,491,103.52/4,202.13
  6. Step 6: Final answer
    x = 7,256.12

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.