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Finding the Third Proportional to 3,008.19 and 6,106.09

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Solution

The third proportional to 3,008.19 and 6,106.09 is: 12,394.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,008.19 : 6,106.09 = 6,106.09 : x
  2. Step 2: Convert to fraction form
    3,008.19/6,106.09 = 6,106.09/x
  3. Step 3: Cross multiply
    3,008.19x = 6,106.09 × 6,106.09
  4. Step 4: Simplify right side
    3,008.19x = 37,284,297.40
  5. Step 5: Solve for x
    x = 37,284,297.40/3,008.19
  6. Step 6: Final answer
    x = 12,394.25

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.