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Finding the Third Proportional to 3,271.22 and 7,268.06

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Solution

The third proportional to 3,271.22 and 7,268.06 is: 16,148.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,271.22 : 7,268.06 = 7,268.06 : x
  2. Step 2: Convert to fraction form
    3,271.22/7,268.06 = 7,268.06/x
  3. Step 3: Cross multiply
    3,271.22x = 7,268.06 × 7,268.06
  4. Step 4: Simplify right side
    3,271.22x = 52,824,732.50
  5. Step 5: Solve for x
    x = 52,824,732.50/3,271.22
  6. Step 6: Final answer
    x = 16,148.33

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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.