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Finding the Third Proportional to 36,266 and 52,822

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Solution

The third proportional to 36,266 and 52,822 is: 76,936.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,266 : 52,822 = 52,822 : x
  2. Step 2: Convert to fraction form
    36,266/52,822 = 52,822/x
  3. Step 3: Cross multiply
    36,266x = 52,822 × 52,822
  4. Step 4: Simplify right side
    36,266x = 2,790,163,684
  5. Step 5: Solve for x
    x = 2,790,163,684/36,266
  6. Step 6: Final answer
    x = 76,936.07

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.