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Finding the Third Proportional to 14,249.25 and 21,382.31

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Solution

The third proportional to 14,249.25 and 21,382.31 is: 32,086.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,249.25 : 21,382.31 = 21,382.31 : x
  2. Step 2: Convert to fraction form
    14,249.25/21,382.31 = 21,382.31/x
  3. Step 3: Cross multiply
    14,249.25x = 21,382.31 × 21,382.31
  4. Step 4: Simplify right side
    14,249.25x = 457,203,287.85
  5. Step 5: Solve for x
    x = 457,203,287.85/14,249.25
  6. Step 6: Final answer
    x = 32,086.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.