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Finding the Third Proportional to 16,446.38 and 39,767.63

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Solution

The third proportional to 16,446.38 and 39,767.63 is: 96,158.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,446.38 : 39,767.63 = 39,767.63 : x
  2. Step 2: Convert to fraction form
    16,446.38/39,767.63 = 39,767.63/x
  3. Step 3: Cross multiply
    16,446.38x = 39,767.63 × 39,767.63
  4. Step 4: Simplify right side
    16,446.38x = 1,581,463,998.14
  5. Step 5: Solve for x
    x = 1,581,463,998.14/16,446.38
  6. Step 6: Final answer
    x = 96,158.82

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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.