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Finding the Third Proportional to 2,759.06 and 6,855.89

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Solution

The third proportional to 2,759.06 and 6,855.89 is: 17,035.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,759.06 : 6,855.89 = 6,855.89 : x
  2. Step 2: Convert to fraction form
    2,759.06/6,855.89 = 6,855.89/x
  3. Step 3: Cross multiply
    2,759.06x = 6,855.89 × 6,855.89
  4. Step 4: Simplify right side
    2,759.06x = 47,003,236.26
  5. Step 5: Solve for x
    x = 47,003,236.26/2,759.06
  6. Step 6: Final answer
    x = 17,035.94

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Why These Related Problems?

These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.