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Finding the Third Proportional to 22,324.25 and 33,773.38

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Solution

The third proportional to 22,324.25 and 33,773.38 is: 51,094.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,324.25 : 33,773.38 = 33,773.38 : x
  2. Step 2: Convert to fraction form
    22,324.25/33,773.38 = 33,773.38/x
  3. Step 3: Cross multiply
    22,324.25x = 33,773.38 × 33,773.38
  4. Step 4: Simplify right side
    22,324.25x = 1,140,640,858.89
  5. Step 5: Solve for x
    x = 1,140,640,858.89/22,324.25
  6. Step 6: Final answer
    x = 51,094.25

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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.