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Finding the Third Proportional to 19,850 and 30,800

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Solution

The third proportional to 19,850 and 30,800 is: 47,790.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,850 : 30,800 = 30,800 : x
  2. Step 2: Convert to fraction form
    19,850/30,800 = 30,800/x
  3. Step 3: Cross multiply
    19,850x = 30,800 × 30,800
  4. Step 4: Simplify right side
    19,850x = 948,640,000
  5. Step 5: Solve for x
    x = 948,640,000/19,850
  6. Step 6: Final answer
    x = 47,790.43

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.