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Finding the Third Proportional to 27,266 and 36,822

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Solution

The third proportional to 27,266 and 36,822 is: 49,727.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,266 : 36,822 = 36,822 : x
  2. Step 2: Convert to fraction form
    27,266/36,822 = 36,822/x
  3. Step 3: Cross multiply
    27,266x = 36,822 × 36,822
  4. Step 4: Simplify right side
    27,266x = 1,355,859,684
  5. Step 5: Solve for x
    x = 1,355,859,684/27,266
  6. Step 6: Final answer
    x = 49,727.12

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.