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Finding the Third Proportional to 22,208.25 and 28,812

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Solution

The third proportional to 22,208.25 and 28,812 is: 37,379.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,208.25 : 28,812 = 28,812 : x
  2. Step 2: Convert to fraction form
    22,208.25/28,812 = 28,812/x
  3. Step 3: Cross multiply
    22,208.25x = 28,812 × 28,812
  4. Step 4: Simplify right side
    22,208.25x = 830,131,344
  5. Step 5: Solve for x
    x = 830,131,344/22,208.25
  6. Step 6: Final answer
    x = 37,379.41

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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.