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Finding the Third Proportional to 22,744 and 36,196

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Solution

The third proportional to 22,744 and 36,196 is: 57,604.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,744 : 36,196 = 36,196 : x
  2. Step 2: Convert to fraction form
    22,744/36,196 = 36,196/x
  3. Step 3: Cross multiply
    22,744x = 36,196 × 36,196
  4. Step 4: Simplify right side
    22,744x = 1,310,150,416
  5. Step 5: Solve for x
    x = 1,310,150,416/22,744
  6. Step 6: Final answer
    x = 57,604.22

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.