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Finding the Third Proportional to 12,251.25 and 26,350.31

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Solution

The third proportional to 12,251.25 and 26,350.31 is: 56,674.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,251.25 : 26,350.31 = 26,350.31 : x
  2. Step 2: Convert to fraction form
    12,251.25/26,350.31 = 26,350.31/x
  3. Step 3: Cross multiply
    12,251.25x = 26,350.31 × 26,350.31
  4. Step 4: Simplify right side
    12,251.25x = 694,338,968.85
  5. Step 5: Solve for x
    x = 694,338,968.85/12,251.25
  6. Step 6: Final answer
    x = 56,674.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.