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Finding the Third Proportional to 19,800 and 29,632

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Solution

The third proportional to 19,800 and 29,632 is: 44,346.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,800 : 29,632 = 29,632 : x
  2. Step 2: Convert to fraction form
    19,800/29,632 = 29,632/x
  3. Step 3: Cross multiply
    19,800x = 29,632 × 29,632
  4. Step 4: Simplify right side
    19,800x = 878,055,424
  5. Step 5: Solve for x
    x = 878,055,424/19,800
  6. Step 6: Final answer
    x = 44,346.23

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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.