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Finding the Third Proportional to 24,105 and 36,135

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Solution

The third proportional to 24,105 and 36,135 is: 54,168.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,105 : 36,135 = 36,135 : x
  2. Step 2: Convert to fraction form
    24,105/36,135 = 36,135/x
  3. Step 3: Cross multiply
    24,105x = 36,135 × 36,135
  4. Step 4: Simplify right side
    24,105x = 1,305,738,225
  5. Step 5: Solve for x
    x = 1,305,738,225/24,105
  6. Step 6: Final answer
    x = 54,168.77

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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.