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Finding the Third Proportional to 12,152.53 and 18,240.19

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Solution

The third proportional to 12,152.53 and 18,240.19 is: 27,377.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,152.53 : 18,240.19 = 18,240.19 : x
  2. Step 2: Convert to fraction form
    12,152.53/18,240.19 = 18,240.19/x
  3. Step 3: Cross multiply
    12,152.53x = 18,240.19 × 18,240.19
  4. Step 4: Simplify right side
    12,152.53x = 332,704,440.04
  5. Step 5: Solve for x
    x = 332,704,440.04/12,152.53
  6. Step 6: Final answer
    x = 27,377.38

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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.