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Finding the Third Proportional to 22,122.49 and 33,185.64

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Solution

The third proportional to 22,122.49 and 33,185.64 is: 49,781.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,122.49 : 33,185.64 = 33,185.64 : x
  2. Step 2: Convert to fraction form
    22,122.49/33,185.64 = 33,185.64/x
  3. Step 3: Cross multiply
    22,122.49x = 33,185.64 × 33,185.64
  4. Step 4: Simplify right side
    22,122.49x = 1,101,286,484.43
  5. Step 5: Solve for x
    x = 1,101,286,484.43/22,122.49
  6. Step 6: Final answer
    x = 49,781.30

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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.