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Finding the Third Proportional to 10,794.94 and 16,202.53

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Solution

The third proportional to 10,794.94 and 16,202.53 is: 24,318.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,794.94 : 16,202.53 = 16,202.53 : x
  2. Step 2: Convert to fraction form
    10,794.94/16,202.53 = 16,202.53/x
  3. Step 3: Cross multiply
    10,794.94x = 16,202.53 × 16,202.53
  4. Step 4: Simplify right side
    10,794.94x = 262,522,018.91
  5. Step 5: Solve for x
    x = 262,522,018.91/10,794.94
  6. Step 6: Final answer
    x = 24,318.99

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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.