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Finding the Third Proportional to 3,083.91 and 6,753.66

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Solution

The third proportional to 3,083.91 and 6,753.66 is: 14,790.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,083.91 : 6,753.66 = 6,753.66 : x
  2. Step 2: Convert to fraction form
    3,083.91/6,753.66 = 6,753.66/x
  3. Step 3: Cross multiply
    3,083.91x = 6,753.66 × 6,753.66
  4. Step 4: Simplify right side
    3,083.91x = 45,611,872.74
  5. Step 5: Solve for x
    x = 45,611,872.74/3,083.91
  6. Step 6: Final answer
    x = 14,790.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.