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Finding the Third Proportional to 23,213.25 and 30,202.88

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Solution

The third proportional to 23,213.25 and 30,202.88 is: 39,297.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,213.25 : 30,202.88 = 30,202.88 : x
  2. Step 2: Convert to fraction form
    23,213.25/30,202.88 = 30,202.88/x
  3. Step 3: Cross multiply
    23,213.25x = 30,202.88 × 30,202.88
  4. Step 4: Simplify right side
    23,213.25x = 912,213,658.27
  5. Step 5: Solve for x
    x = 912,213,658.27/23,213.25
  6. Step 6: Final answer
    x = 39,297.11

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.