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Finding the Third Proportional to 7,414.88 and 16,197.75

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Solution

The third proportional to 7,414.88 and 16,197.75 is: 35,383.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,414.88 : 16,197.75 = 16,197.75 : x
  2. Step 2: Convert to fraction form
    7,414.88/16,197.75 = 16,197.75/x
  3. Step 3: Cross multiply
    7,414.88x = 16,197.75 × 16,197.75
  4. Step 4: Simplify right side
    7,414.88x = 262,367,105.06
  5. Step 5: Solve for x
    x = 262,367,105.06/7,414.88
  6. Step 6: Final answer
    x = 35,383.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.