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Finding the Third Proportional to 2,232.25 and 4,902.38

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Solution

The third proportional to 2,232.25 and 4,902.38 is: 10,766.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,232.25 : 4,902.38 = 4,902.38 : x
  2. Step 2: Convert to fraction form
    2,232.25/4,902.38 = 4,902.38/x
  3. Step 3: Cross multiply
    2,232.25x = 4,902.38 × 4,902.38
  4. Step 4: Simplify right side
    2,232.25x = 24,033,280.64
  5. Step 5: Solve for x
    x = 24,033,280.64/2,232.25
  6. Step 6: Final answer
    x = 10,766.39

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.