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Finding the Third Proportional to 3,297.09 and 6,999.19

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Solution

The third proportional to 3,297.09 and 6,999.19 is: 14,858.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.09 : 6,999.19 = 6,999.19 : x
  2. Step 2: Convert to fraction form
    3,297.09/6,999.19 = 6,999.19/x
  3. Step 3: Cross multiply
    3,297.09x = 6,999.19 × 6,999.19
  4. Step 4: Simplify right side
    3,297.09x = 48,988,625.66
  5. Step 5: Solve for x
    x = 48,988,625.66/3,297.09
  6. Step 6: Final answer
    x = 14,858.12

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.