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Finding the Third Proportional to 22,313.25 and 33,294.38

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Solution

The third proportional to 22,313.25 and 33,294.38 is: 49,679.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,313.25 : 33,294.38 = 33,294.38 : x
  2. Step 2: Convert to fraction form
    22,313.25/33,294.38 = 33,294.38/x
  3. Step 3: Cross multiply
    22,313.25x = 33,294.38 × 33,294.38
  4. Step 4: Simplify right side
    22,313.25x = 1,108,515,406.64
  5. Step 5: Solve for x
    x = 1,108,515,406.64/22,313.25
  6. Step 6: Final answer
    x = 49,679.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.