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Finding the Third Proportional to 3,234.66 and 6,588.19

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Solution

The third proportional to 3,234.66 and 6,588.19 is: 13,418.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,234.66 : 6,588.19 = 6,588.19 : x
  2. Step 2: Convert to fraction form
    3,234.66/6,588.19 = 6,588.19/x
  3. Step 3: Cross multiply
    3,234.66x = 6,588.19 × 6,588.19
  4. Step 4: Simplify right side
    3,234.66x = 43,404,214.54
  5. Step 5: Solve for x
    x = 43,404,214.54/3,234.66
  6. Step 6: Final answer
    x = 13,418.49

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.