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Finding the Third Proportional to 9,871 and 20,850.50

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Solution

The third proportional to 9,871 and 20,850.50 is: 44,042.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,871 : 20,850.50 = 20,850.50 : x
  2. Step 2: Convert to fraction form
    9,871/20,850.50 = 20,850.50/x
  3. Step 3: Cross multiply
    9,871x = 20,850.50 × 20,850.50
  4. Step 4: Simplify right side
    9,871x = 434,743,350.25
  5. Step 5: Solve for x
    x = 434,743,350.25/9,871
  6. Step 6: Final answer
    x = 44,042.48

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.