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Finding the Third Proportional to 7,202.25 and 12,612.38

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Solution

The third proportional to 7,202.25 and 12,612.38 is: 22,086.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,202.25 : 12,612.38 = 12,612.38 : x
  2. Step 2: Convert to fraction form
    7,202.25/12,612.38 = 12,612.38/x
  3. Step 3: Cross multiply
    7,202.25x = 12,612.38 × 12,612.38
  4. Step 4: Simplify right side
    7,202.25x = 159,072,003.14
  5. Step 5: Solve for x
    x = 159,072,003.14/7,202.25
  6. Step 6: Final answer
    x = 22,086.43

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Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.