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Finding the Third Proportional to 22,309 and 33,653

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Solution

The third proportional to 22,309 and 33,653 is: 50,765.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,309 : 33,653 = 33,653 : x
  2. Step 2: Convert to fraction form
    22,309/33,653 = 33,653/x
  3. Step 3: Cross multiply
    22,309x = 33,653 × 33,653
  4. Step 4: Simplify right side
    22,309x = 1,132,524,409
  5. Step 5: Solve for x
    x = 1,132,524,409/22,309
  6. Step 6: Final answer
    x = 50,765.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.