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Finding the Third Proportional to 23,222 and 33,195

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Solution

The third proportional to 23,222 and 33,195 is: 47,451.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,222 : 33,195 = 33,195 : x
  2. Step 2: Convert to fraction form
    23,222/33,195 = 33,195/x
  3. Step 3: Cross multiply
    23,222x = 33,195 × 33,195
  4. Step 4: Simplify right side
    23,222x = 1,101,908,025
  5. Step 5: Solve for x
    x = 1,101,908,025/23,222
  6. Step 6: Final answer
    x = 47,451.04

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.