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Finding the Third Proportional to 3,928.50 and 8,510.06

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Solution

The third proportional to 3,928.50 and 8,510.06 is: 18,434.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,928.50 : 8,510.06 = 8,510.06 : x
  2. Step 2: Convert to fraction form
    3,928.50/8,510.06 = 8,510.06/x
  3. Step 3: Cross multiply
    3,928.50x = 8,510.06 × 8,510.06
  4. Step 4: Simplify right side
    3,928.50x = 72,421,163.75
  5. Step 5: Solve for x
    x = 72,421,163.75/3,928.50
  6. Step 6: Final answer
    x = 18,434.81

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.