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Finding the Third Proportional to 6,660 and 7,571.25

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Solution

The third proportional to 6,660 and 7,571.25 is: 8,607.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,660 : 7,571.25 = 7,571.25 : x
  2. Step 2: Convert to fraction form
    6,660/7,571.25 = 7,571.25/x
  3. Step 3: Cross multiply
    6,660x = 7,571.25 × 7,571.25
  4. Step 4: Simplify right side
    6,660x = 57,323,826.56
  5. Step 5: Solve for x
    x = 57,323,826.56/6,660
  6. Step 6: Final answer
    x = 8,607.18

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These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.