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Finding the Third Proportional to 2,675.74 and 4,261.29

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Solution

The third proportional to 2,675.74 and 4,261.29 is: 6,786.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675.74 : 4,261.29 = 4,261.29 : x
  2. Step 2: Convert to fraction form
    2,675.74/4,261.29 = 4,261.29/x
  3. Step 3: Cross multiply
    2,675.74x = 4,261.29 × 4,261.29
  4. Step 4: Simplify right side
    2,675.74x = 18,158,584.47
  5. Step 5: Solve for x
    x = 18,158,584.47/2,675.74
  6. Step 6: Final answer
    x = 6,786.37

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.