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Finding the Third Proportional to 2,068.03 and 2,778.05

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Solution

The third proportional to 2,068.03 and 2,778.05 is: 3,731.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.03 : 2,778.05 = 2,778.05 : x
  2. Step 2: Convert to fraction form
    2,068.03/2,778.05 = 2,778.05/x
  3. Step 3: Cross multiply
    2,068.03x = 2,778.05 × 2,778.05
  4. Step 4: Simplify right side
    2,068.03x = 7,717,544.44
  5. Step 5: Solve for x
    x = 7,717,544.44/2,068.03
  6. Step 6: Final answer
    x = 3,731.83

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.