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Finding the Third Proportional to 36,092.25 and 87,770.25

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Solution

The third proportional to 36,092.25 and 87,770.25 is: 213,442.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,092.25 : 87,770.25 = 87,770.25 : x
  2. Step 2: Convert to fraction form
    36,092.25/87,770.25 = 87,770.25/x
  3. Step 3: Cross multiply
    36,092.25x = 87,770.25 × 87,770.25
  4. Step 4: Simplify right side
    36,092.25x = 7,703,616,785.06
  5. Step 5: Solve for x
    x = 7,703,616,785.06/36,092.25
  6. Step 6: Final answer
    x = 213,442.41

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.