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Finding the Third Proportional to 3,211.22 and 7,006.30

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Solution

The third proportional to 3,211.22 and 7,006.30 is: 15,286.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,211.22 : 7,006.30 = 7,006.30 : x
  2. Step 2: Convert to fraction form
    3,211.22/7,006.30 = 7,006.30/x
  3. Step 3: Cross multiply
    3,211.22x = 7,006.30 × 7,006.30
  4. Step 4: Simplify right side
    3,211.22x = 49,088,271.16
  5. Step 5: Solve for x
    x = 49,088,271.16/3,211.22
  6. Step 6: Final answer
    x = 15,286.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.