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Finding the Third Proportional to 19,680 and 29,600

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Solution

The third proportional to 19,680 and 29,600 is: 44,520.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,680 : 29,600 = 29,600 : x
  2. Step 2: Convert to fraction form
    19,680/29,600 = 29,600/x
  3. Step 3: Cross multiply
    19,680x = 29,600 × 29,600
  4. Step 4: Simplify right side
    19,680x = 876,160,000
  5. Step 5: Solve for x
    x = 876,160,000/19,680
  6. Step 6: Final answer
    x = 44,520.33

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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.