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Finding the Third Proportional to 8,318.53 and 12,564.28

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Solution

The third proportional to 8,318.53 and 12,564.28 is: 18,977.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,318.53 : 12,564.28 = 12,564.28 : x
  2. Step 2: Convert to fraction form
    8,318.53/12,564.28 = 12,564.28/x
  3. Step 3: Cross multiply
    8,318.53x = 12,564.28 × 12,564.28
  4. Step 4: Simplify right side
    8,318.53x = 157,861,163.33
  5. Step 5: Solve for x
    x = 157,861,163.33/8,318.53
  6. Step 6: Final answer
    x = 18,977.05

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.