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Finding the Third Proportional to 6,197.48 and 9,441.49

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Solution

The third proportional to 6,197.48 and 9,441.49 is: 14,383.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,197.48 : 9,441.49 = 9,441.49 : x
  2. Step 2: Convert to fraction form
    6,197.48/9,441.49 = 9,441.49/x
  3. Step 3: Cross multiply
    6,197.48x = 9,441.49 × 9,441.49
  4. Step 4: Simplify right side
    6,197.48x = 89,141,774.73
  5. Step 5: Solve for x
    x = 89,141,774.73/6,197.48
  6. Step 6: Final answer
    x = 14,383.54

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.