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Finding the Third Proportional to 2,229.19 and 4,593.38

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Solution

The third proportional to 2,229.19 and 4,593.38 is: 9,464.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,229.19 : 4,593.38 = 4,593.38 : x
  2. Step 2: Convert to fraction form
    2,229.19/4,593.38 = 4,593.38/x
  3. Step 3: Cross multiply
    2,229.19x = 4,593.38 × 4,593.38
  4. Step 4: Simplify right side
    2,229.19x = 21,099,093.89
  5. Step 5: Solve for x
    x = 21,099,093.89/2,229.19
  6. Step 6: Final answer
    x = 9,464.93

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.