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Finding the Third Proportional to 3,571.06 and 7,834.31

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Solution

The third proportional to 3,571.06 and 7,834.31 is: 17,187.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,571.06 : 7,834.31 = 7,834.31 : x
  2. Step 2: Convert to fraction form
    3,571.06/7,834.31 = 7,834.31/x
  3. Step 3: Cross multiply
    3,571.06x = 7,834.31 × 7,834.31
  4. Step 4: Simplify right side
    3,571.06x = 61,376,452.35
  5. Step 5: Solve for x
    x = 61,376,452.35/3,571.06
  6. Step 6: Final answer
    x = 17,187.17

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