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Finding the Third Proportional to 22,286 and 33,321

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Solution

The third proportional to 22,286 and 33,321 is: 49,820.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,286 : 33,321 = 33,321 : x
  2. Step 2: Convert to fraction form
    22,286/33,321 = 33,321/x
  3. Step 3: Cross multiply
    22,286x = 33,321 × 33,321
  4. Step 4: Simplify right side
    22,286x = 1,110,289,041
  5. Step 5: Solve for x
    x = 1,110,289,041/22,286
  6. Step 6: Final answer
    x = 49,820.02

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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.