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Finding the Third Proportional to 9,330.19 and 12,286.69

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Solution

The third proportional to 9,330.19 and 12,286.69 is: 16,180.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,330.19 : 12,286.69 = 12,286.69 : x
  2. Step 2: Convert to fraction form
    9,330.19/12,286.69 = 12,286.69/x
  3. Step 3: Cross multiply
    9,330.19x = 12,286.69 × 12,286.69
  4. Step 4: Simplify right side
    9,330.19x = 150,962,689.72
  5. Step 5: Solve for x
    x = 150,962,689.72/9,330.19
  6. Step 6: Final answer
    x = 16,180.03

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.