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Finding the Third Proportional to 22,396.50 and 33,083.44

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Solution

The third proportional to 22,396.50 and 33,083.44 is: 48,869.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,396.50 : 33,083.44 = 33,083.44 : x
  2. Step 2: Convert to fraction form
    22,396.50/33,083.44 = 33,083.44/x
  3. Step 3: Cross multiply
    22,396.50x = 33,083.44 × 33,083.44
  4. Step 4: Simplify right side
    22,396.50x = 1,094,513,836.82
  5. Step 5: Solve for x
    x = 1,094,513,836.82/22,396.50
  6. Step 6: Final answer
    x = 48,869.86

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.