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Finding the Third Proportional to 5,970 and 8,351.25

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Solution

The third proportional to 5,970 and 8,351.25 is: 11,682.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,970 : 8,351.25 = 8,351.25 : x
  2. Step 2: Convert to fraction form
    5,970/8,351.25 = 8,351.25/x
  3. Step 3: Cross multiply
    5,970x = 8,351.25 × 8,351.25
  4. Step 4: Simplify right side
    5,970x = 69,743,376.56
  5. Step 5: Solve for x
    x = 69,743,376.56/5,970
  6. Step 6: Final answer
    x = 11,682.31

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.