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Finding the Third Proportional to 24,196 and 36,266

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Solution

The third proportional to 24,196 and 36,266 is: 54,357.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,196 : 36,266 = 36,266 : x
  2. Step 2: Convert to fraction form
    24,196/36,266 = 36,266/x
  3. Step 3: Cross multiply
    24,196x = 36,266 × 36,266
  4. Step 4: Simplify right side
    24,196x = 1,315,222,756
  5. Step 5: Solve for x
    x = 1,315,222,756/24,196
  6. Step 6: Final answer
    x = 54,357.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.