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Finding the Third Proportional to 14,170.65 and 21,227.14

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Solution

The third proportional to 14,170.65 and 21,227.14 is: 31,797.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,170.65 : 21,227.14 = 21,227.14 : x
  2. Step 2: Convert to fraction form
    14,170.65/21,227.14 = 21,227.14/x
  3. Step 3: Cross multiply
    14,170.65x = 21,227.14 × 21,227.14
  4. Step 4: Simplify right side
    14,170.65x = 450,591,540.57
  5. Step 5: Solve for x
    x = 450,591,540.57/14,170.65
  6. Step 6: Final answer
    x = 31,797.52

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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.