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Finding the Third Proportional to 2,773.41 and 6,058.97

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Solution

The third proportional to 2,773.41 and 6,058.97 is: 13,236.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.41 : 6,058.97 = 6,058.97 : x
  2. Step 2: Convert to fraction form
    2,773.41/6,058.97 = 6,058.97/x
  3. Step 3: Cross multiply
    2,773.41x = 6,058.97 × 6,058.97
  4. Step 4: Simplify right side
    2,773.41x = 36,711,102.31
  5. Step 5: Solve for x
    x = 36,711,102.31/2,773.41
  6. Step 6: Final answer
    x = 13,236.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.