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Finding the Third Proportional to 22,162 and 36,935

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Solution

The third proportional to 22,162 and 36,935 is: 61,555.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,162 : 36,935 = 36,935 : x
  2. Step 2: Convert to fraction form
    22,162/36,935 = 36,935/x
  3. Step 3: Cross multiply
    22,162x = 36,935 × 36,935
  4. Step 4: Simplify right side
    22,162x = 1,364,194,225
  5. Step 5: Solve for x
    x = 1,364,194,225/22,162
  6. Step 6: Final answer
    x = 61,555.56

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.