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Finding the Third Proportional to 23,680 and 36,330

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Solution

The third proportional to 23,680 and 36,330 is: 55,737.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,680 : 36,330 = 36,330 : x
  2. Step 2: Convert to fraction form
    23,680/36,330 = 36,330/x
  3. Step 3: Cross multiply
    23,680x = 36,330 × 36,330
  4. Step 4: Simplify right side
    23,680x = 1,319,868,900
  5. Step 5: Solve for x
    x = 1,319,868,900/23,680
  6. Step 6: Final answer
    x = 55,737.71

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.