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Finding the Third Proportional to 3,721.35 and 7,982.34

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Solution

The third proportional to 3,721.35 and 7,982.34 is: 17,122.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,721.35 : 7,982.34 = 7,982.34 : x
  2. Step 2: Convert to fraction form
    3,721.35/7,982.34 = 7,982.34/x
  3. Step 3: Cross multiply
    3,721.35x = 7,982.34 × 7,982.34
  4. Step 4: Simplify right side
    3,721.35x = 63,717,694.81
  5. Step 5: Solve for x
    x = 63,717,694.81/3,721.35
  6. Step 6: Final answer
    x = 17,122.19

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.