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Finding the Third Proportional to 14,040.88 and 20,512.25

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Solution

The third proportional to 14,040.88 and 20,512.25 is: 29,966.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,040.88 : 20,512.25 = 20,512.25 : x
  2. Step 2: Convert to fraction form
    14,040.88/20,512.25 = 20,512.25/x
  3. Step 3: Cross multiply
    14,040.88x = 20,512.25 × 20,512.25
  4. Step 4: Simplify right side
    14,040.88x = 420,752,400.06
  5. Step 5: Solve for x
    x = 420,752,400.06/14,040.88
  6. Step 6: Final answer
    x = 29,966.25

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.