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Finding the Third Proportional to 6,424.75 and 9,610.75

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Solution

The third proportional to 6,424.75 and 9,610.75 is: 14,376.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,424.75 : 9,610.75 = 9,610.75 : x
  2. Step 2: Convert to fraction form
    6,424.75/9,610.75 = 9,610.75/x
  3. Step 3: Cross multiply
    6,424.75x = 9,610.75 × 9,610.75
  4. Step 4: Simplify right side
    6,424.75x = 92,366,515.56
  5. Step 5: Solve for x
    x = 92,366,515.56/6,424.75
  6. Step 6: Final answer
    x = 14,376.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.