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Finding the Third Proportional to 12,153.84 and 18,230.91

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Solution

The third proportional to 12,153.84 and 18,230.91 is: 27,346.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,153.84 : 18,230.91 = 18,230.91 : x
  2. Step 2: Convert to fraction form
    12,153.84/18,230.91 = 18,230.91/x
  3. Step 3: Cross multiply
    12,153.84x = 18,230.91 × 18,230.91
  4. Step 4: Simplify right side
    12,153.84x = 332,365,942.70
  5. Step 5: Solve for x
    x = 332,365,942.70/12,153.84
  6. Step 6: Final answer
    x = 27,346.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.