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Finding the Third Proportional to 17,301 and 33,738

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Solution

The third proportional to 17,301 and 33,738 is: 65,791.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,301 : 33,738 = 33,738 : x
  2. Step 2: Convert to fraction form
    17,301/33,738 = 33,738/x
  3. Step 3: Cross multiply
    17,301x = 33,738 × 33,738
  4. Step 4: Simplify right side
    17,301x = 1,138,252,644
  5. Step 5: Solve for x
    x = 1,138,252,644/17,301
  6. Step 6: Final answer
    x = 65,791.15

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.