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Finding the Third Proportional to 26,304 and 36,161

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Solution

The third proportional to 26,304 and 36,161 is: 49,711.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,304 : 36,161 = 36,161 : x
  2. Step 2: Convert to fraction form
    26,304/36,161 = 36,161/x
  3. Step 3: Cross multiply
    26,304x = 36,161 × 36,161
  4. Step 4: Simplify right side
    26,304x = 1,307,617,921
  5. Step 5: Solve for x
    x = 1,307,617,921/26,304
  6. Step 6: Final answer
    x = 49,711.75

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.