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Finding the Third Proportional to 6,729.33 and 14,734.41

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Solution

The third proportional to 6,729.33 and 14,734.41 is: 32,262.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,729.33 : 14,734.41 = 14,734.41 : x
  2. Step 2: Convert to fraction form
    6,729.33/14,734.41 = 14,734.41/x
  3. Step 3: Cross multiply
    6,729.33x = 14,734.41 × 14,734.41
  4. Step 4: Simplify right side
    6,729.33x = 217,102,727.54
  5. Step 5: Solve for x
    x = 217,102,727.54/6,729.33
  6. Step 6: Final answer
    x = 32,262.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.