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Finding the Third Proportional to 3,062.81 and 6,311.67

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Solution

The third proportional to 3,062.81 and 6,311.67 is: 13,006.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,062.81 : 6,311.67 = 6,311.67 : x
  2. Step 2: Convert to fraction form
    3,062.81/6,311.67 = 6,311.67/x
  3. Step 3: Cross multiply
    3,062.81x = 6,311.67 × 6,311.67
  4. Step 4: Simplify right side
    3,062.81x = 39,837,201.86
  5. Step 5: Solve for x
    x = 39,837,201.86/3,062.81
  6. Step 6: Final answer
    x = 13,006.74

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.