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Finding the Third Proportional to 3,722.06 and 7,682.06

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Solution

The third proportional to 3,722.06 and 7,682.06 is: 15,855.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,722.06 : 7,682.06 = 7,682.06 : x
  2. Step 2: Convert to fraction form
    3,722.06/7,682.06 = 7,682.06/x
  3. Step 3: Cross multiply
    3,722.06x = 7,682.06 × 7,682.06
  4. Step 4: Simplify right side
    3,722.06x = 59,014,084.25
  5. Step 5: Solve for x
    x = 59,014,084.25/3,722.06
  6. Step 6: Final answer
    x = 15,855.21

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.