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Finding the Third Proportional to 10,935.42 and 16,399.97

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Solution

The third proportional to 10,935.42 and 16,399.97 is: 24,595.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,935.42 : 16,399.97 = 16,399.97 : x
  2. Step 2: Convert to fraction form
    10,935.42/16,399.97 = 16,399.97/x
  3. Step 3: Cross multiply
    10,935.42x = 16,399.97 × 16,399.97
  4. Step 4: Simplify right side
    10,935.42x = 268,958,975.00
  5. Step 5: Solve for x
    x = 268,958,975.00/10,935.42
  6. Step 6: Final answer
    x = 24,595.21

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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.