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Finding the Third Proportional to 3,097.41 and 6,863.06

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Solution

The third proportional to 3,097.41 and 6,863.06 is: 15,206.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.41 : 6,863.06 = 6,863.06 : x
  2. Step 2: Convert to fraction form
    3,097.41/6,863.06 = 6,863.06/x
  3. Step 3: Cross multiply
    3,097.41x = 6,863.06 × 6,863.06
  4. Step 4: Simplify right side
    3,097.41x = 47,101,626.88
  5. Step 5: Solve for x
    x = 47,101,626.88/3,097.41
  6. Step 6: Final answer
    x = 15,206.80

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.