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Finding the Third Proportional to 14,194.97 and 19,286.25

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Solution

The third proportional to 14,194.97 and 19,286.25 is: 26,203.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,194.97 : 19,286.25 = 19,286.25 : x
  2. Step 2: Convert to fraction form
    14,194.97/19,286.25 = 19,286.25/x
  3. Step 3: Cross multiply
    14,194.97x = 19,286.25 × 19,286.25
  4. Step 4: Simplify right side
    14,194.97x = 371,959,439.06
  5. Step 5: Solve for x
    x = 371,959,439.06/14,194.97
  6. Step 6: Final answer
    x = 26,203.61

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.