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Finding the Third Proportional to 9,793.41 and 12,258.84

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Solution

The third proportional to 9,793.41 and 12,258.84 is: 15,344.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,793.41 : 12,258.84 = 12,258.84 : x
  2. Step 2: Convert to fraction form
    9,793.41/12,258.84 = 12,258.84/x
  3. Step 3: Cross multiply
    9,793.41x = 12,258.84 × 12,258.84
  4. Step 4: Simplify right side
    9,793.41x = 150,279,250.09
  5. Step 5: Solve for x
    x = 150,279,250.09/9,793.41
  6. Step 6: Final answer
    x = 15,344.94

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Why These Related Problems?

These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.