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Finding the Third Proportional to 3,083.06 and 6,385.08

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Solution

The third proportional to 3,083.06 and 6,385.08 is: 13,223.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,083.06 : 6,385.08 = 6,385.08 : x
  2. Step 2: Convert to fraction form
    3,083.06/6,385.08 = 6,385.08/x
  3. Step 3: Cross multiply
    3,083.06x = 6,385.08 × 6,385.08
  4. Step 4: Simplify right side
    3,083.06x = 40,769,222.66
  5. Step 5: Solve for x
    x = 40,769,222.66/3,083.06
  6. Step 6: Final answer
    x = 13,223.61

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.