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Finding the Third Proportional to 21,198 and 32,937

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Solution

The third proportional to 21,198 and 32,937 is: 51,176.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,198 : 32,937 = 32,937 : x
  2. Step 2: Convert to fraction form
    21,198/32,937 = 32,937/x
  3. Step 3: Cross multiply
    21,198x = 32,937 × 32,937
  4. Step 4: Simplify right side
    21,198x = 1,084,845,969
  5. Step 5: Solve for x
    x = 1,084,845,969/21,198
  6. Step 6: Final answer
    x = 51,176.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.