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Finding the Third Proportional to 22,845 and 36,481.50

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Solution

The third proportional to 22,845 and 36,481.50 is: 58,257.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,845 : 36,481.50 = 36,481.50 : x
  2. Step 2: Convert to fraction form
    22,845/36,481.50 = 36,481.50/x
  3. Step 3: Cross multiply
    22,845x = 36,481.50 × 36,481.50
  4. Step 4: Simplify right side
    22,845x = 1,330,899,842.25
  5. Step 5: Solve for x
    x = 1,330,899,842.25/22,845
  6. Step 6: Final answer
    x = 58,257.82

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.