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Finding the Third Proportional to 2,361.38 and 4,919.06

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Solution

The third proportional to 2,361.38 and 4,919.06 is: 10,247.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.38 : 4,919.06 = 4,919.06 : x
  2. Step 2: Convert to fraction form
    2,361.38/4,919.06 = 4,919.06/x
  3. Step 3: Cross multiply
    2,361.38x = 4,919.06 × 4,919.06
  4. Step 4: Simplify right side
    2,361.38x = 24,197,175.88
  5. Step 5: Solve for x
    x = 24,197,175.88/2,361.38
  6. Step 6: Final answer
    x = 10,247.07

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.