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Finding the Third Proportional to 22,034 and 44,836

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Solution

The third proportional to 22,034 and 44,836 is: 91,234.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,034 : 44,836 = 44,836 : x
  2. Step 2: Convert to fraction form
    22,034/44,836 = 44,836/x
  3. Step 3: Cross multiply
    22,034x = 44,836 × 44,836
  4. Step 4: Simplify right side
    22,034x = 2,010,266,896
  5. Step 5: Solve for x
    x = 2,010,266,896/22,034
  6. Step 6: Final answer
    x = 91,234.77

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.