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Finding the Third Proportional to 22,154 and 36,923

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Solution

The third proportional to 22,154 and 36,923 is: 61,537.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,154 : 36,923 = 36,923 : x
  2. Step 2: Convert to fraction form
    22,154/36,923 = 36,923/x
  3. Step 3: Cross multiply
    22,154x = 36,923 × 36,923
  4. Step 4: Simplify right side
    22,154x = 1,363,307,929
  5. Step 5: Solve for x
    x = 1,363,307,929/22,154
  6. Step 6: Final answer
    x = 61,537.78

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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.