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Finding the Third Proportional to 3,083.91 and 6,512.06

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Solution

The third proportional to 3,083.91 and 6,512.06 is: 13,751.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,083.91 : 6,512.06 = 6,512.06 : x
  2. Step 2: Convert to fraction form
    3,083.91/6,512.06 = 6,512.06/x
  3. Step 3: Cross multiply
    3,083.91x = 6,512.06 × 6,512.06
  4. Step 4: Simplify right side
    3,083.91x = 42,406,958.00
  5. Step 5: Solve for x
    x = 42,406,958.00/3,083.91
  6. Step 6: Final answer
    x = 13,751.05

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.