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Finding the Third Proportional to 2,379.19 and 5,268.38

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Solution

The third proportional to 2,379.19 and 5,268.38 is: 11,666.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,379.19 : 5,268.38 = 5,268.38 : x
  2. Step 2: Convert to fraction form
    2,379.19/5,268.38 = 5,268.38/x
  3. Step 3: Cross multiply
    2,379.19x = 5,268.38 × 5,268.38
  4. Step 4: Simplify right side
    2,379.19x = 27,755,775.14
  5. Step 5: Solve for x
    x = 27,755,775.14/2,379.19
  6. Step 6: Final answer
    x = 11,666.07

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.