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Finding the Third Proportional to 30,512 and 33,680

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Solution

The third proportional to 30,512 and 33,680 is: 37,176.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,512 : 33,680 = 33,680 : x
  2. Step 2: Convert to fraction form
    30,512/33,680 = 33,680/x
  3. Step 3: Cross multiply
    30,512x = 33,680 × 33,680
  4. Step 4: Simplify right side
    30,512x = 1,134,342,400
  5. Step 5: Solve for x
    x = 1,134,342,400/30,512
  6. Step 6: Final answer
    x = 37,176.93

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.