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Finding the Third Proportional to 4,593.38 and 10,227.94

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Solution

The third proportional to 4,593.38 and 10,227.94 is: 22,774.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,593.38 : 10,227.94 = 10,227.94 : x
  2. Step 2: Convert to fraction form
    4,593.38/10,227.94 = 10,227.94/x
  3. Step 3: Cross multiply
    4,593.38x = 10,227.94 × 10,227.94
  4. Step 4: Simplify right side
    4,593.38x = 104,610,705.50
  5. Step 5: Solve for x
    x = 104,610,705.50/4,593.38
  6. Step 6: Final answer
    x = 22,774.26

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.