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Finding the Third Proportional to 2,361.66 and 4,979.39

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Solution

The third proportional to 2,361.66 and 4,979.39 is: 10,498.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.66 : 4,979.39 = 4,979.39 : x
  2. Step 2: Convert to fraction form
    2,361.66/4,979.39 = 4,979.39/x
  3. Step 3: Cross multiply
    2,361.66x = 4,979.39 × 4,979.39
  4. Step 4: Simplify right side
    2,361.66x = 24,794,331.00
  5. Step 5: Solve for x
    x = 24,794,331.00/2,361.66
  6. Step 6: Final answer
    x = 10,498.70

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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.