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Finding the Third Proportional to 22,169 and 33,275

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Solution

The third proportional to 22,169 and 33,275 is: 49,944.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,169 : 33,275 = 33,275 : x
  2. Step 2: Convert to fraction form
    22,169/33,275 = 33,275/x
  3. Step 3: Cross multiply
    22,169x = 33,275 × 33,275
  4. Step 4: Simplify right side
    22,169x = 1,107,225,625
  5. Step 5: Solve for x
    x = 1,107,225,625/22,169
  6. Step 6: Final answer
    x = 49,944.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.