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Finding the Third Proportional to 2,361.09 and 5,169.94

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Solution

The third proportional to 2,361.09 and 5,169.94 is: 11,320.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.09 : 5,169.94 = 5,169.94 : x
  2. Step 2: Convert to fraction form
    2,361.09/5,169.94 = 5,169.94/x
  3. Step 3: Cross multiply
    2,361.09x = 5,169.94 × 5,169.94
  4. Step 4: Simplify right side
    2,361.09x = 26,728,253.75
  5. Step 5: Solve for x
    x = 26,728,253.75/2,361.09
  6. Step 6: Final answer
    x = 11,320.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.