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Finding the Third Proportional to 22,252 and 33,473

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Solution

The third proportional to 22,252 and 33,473 is: 50,352.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,252 : 33,473 = 33,473 : x
  2. Step 2: Convert to fraction form
    22,252/33,473 = 33,473/x
  3. Step 3: Cross multiply
    22,252x = 33,473 × 33,473
  4. Step 4: Simplify right side
    22,252x = 1,120,441,729
  5. Step 5: Solve for x
    x = 1,120,441,729/22,252
  6. Step 6: Final answer
    x = 50,352.41

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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.