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Finding the Third Proportional to 2,338.31 and 4,944.94

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Solution

The third proportional to 2,338.31 and 4,944.94 is: 10,457.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,338.31 : 4,944.94 = 4,944.94 : x
  2. Step 2: Convert to fraction form
    2,338.31/4,944.94 = 4,944.94/x
  3. Step 3: Cross multiply
    2,338.31x = 4,944.94 × 4,944.94
  4. Step 4: Simplify right side
    2,338.31x = 24,452,406.88
  5. Step 5: Solve for x
    x = 24,452,406.88/2,338.31
  6. Step 6: Final answer
    x = 10,457.29

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.