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Finding the Third Proportional to 10,801.50 and 22,881

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Solution

The third proportional to 10,801.50 and 22,881 is: 48,469.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,801.50 : 22,881 = 22,881 : x
  2. Step 2: Convert to fraction form
    10,801.50/22,881 = 22,881/x
  3. Step 3: Cross multiply
    10,801.50x = 22,881 × 22,881
  4. Step 4: Simplify right side
    10,801.50x = 523,540,161
  5. Step 5: Solve for x
    x = 523,540,161/10,801.50
  6. Step 6: Final answer
    x = 48,469.21

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.