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Finding the Third Proportional to 36,338 and 84,851

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Solution

The third proportional to 36,338 and 84,851 is: 198,131.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,338 : 84,851 = 84,851 : x
  2. Step 2: Convert to fraction form
    36,338/84,851 = 84,851/x
  3. Step 3: Cross multiply
    36,338x = 84,851 × 84,851
  4. Step 4: Simplify right side
    36,338x = 7,199,692,201
  5. Step 5: Solve for x
    x = 7,199,692,201/36,338
  6. Step 6: Final answer
    x = 198,131.22

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.