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Finding the Third Proportional to 3,922.17 and 7,007.13

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Solution

The third proportional to 3,922.17 and 7,007.13 is: 12,518.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,922.17 : 7,007.13 = 7,007.13 : x
  2. Step 2: Convert to fraction form
    3,922.17/7,007.13 = 7,007.13/x
  3. Step 3: Cross multiply
    3,922.17x = 7,007.13 × 7,007.13
  4. Step 4: Simplify right side
    3,922.17x = 49,099,910.25
  5. Step 5: Solve for x
    x = 49,099,910.25/3,922.17
  6. Step 6: Final answer
    x = 12,518.55

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These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.