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Finding the Third Proportional to 6,184.69 and 6,863.06

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Solution

The third proportional to 6,184.69 and 6,863.06 is: 7,615.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,184.69 : 6,863.06 = 6,863.06 : x
  2. Step 2: Convert to fraction form
    6,184.69/6,863.06 = 6,863.06/x
  3. Step 3: Cross multiply
    6,184.69x = 6,863.06 × 6,863.06
  4. Step 4: Simplify right side
    6,184.69x = 47,101,626.88
  5. Step 5: Solve for x
    x = 47,101,626.88/6,184.69
  6. Step 6: Final answer
    x = 7,615.85

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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.