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Finding the Third Proportional to 32,161.50 and 69,687

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Solution

The third proportional to 32,161.50 and 69,687 is: 150,996.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,161.50 : 69,687 = 69,687 : x
  2. Step 2: Convert to fraction form
    32,161.50/69,687 = 69,687/x
  3. Step 3: Cross multiply
    32,161.50x = 69,687 × 69,687
  4. Step 4: Simplify right side
    32,161.50x = 4,856,277,969
  5. Step 5: Solve for x
    x = 4,856,277,969/32,161.50
  6. Step 6: Final answer
    x = 150,996.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.