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Finding the Third Proportional to 22,072.50 and 36,132.75

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Solution

The third proportional to 22,072.50 and 36,132.75 is: 59,149.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,072.50 : 36,132.75 = 36,132.75 : x
  2. Step 2: Convert to fraction form
    22,072.50/36,132.75 = 36,132.75/x
  3. Step 3: Cross multiply
    22,072.50x = 36,132.75 × 36,132.75
  4. Step 4: Simplify right side
    22,072.50x = 1,305,575,622.56
  5. Step 5: Solve for x
    x = 1,305,575,622.56/22,072.50
  6. Step 6: Final answer
    x = 59,149.42

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.