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Finding the Third Proportional to 16,431 and 36,142

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Solution

The third proportional to 16,431 and 36,142 is: 79,498.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,431 : 36,142 = 36,142 : x
  2. Step 2: Convert to fraction form
    16,431/36,142 = 36,142/x
  3. Step 3: Cross multiply
    16,431x = 36,142 × 36,142
  4. Step 4: Simplify right side
    16,431x = 1,306,244,164
  5. Step 5: Solve for x
    x = 1,306,244,164/16,431
  6. Step 6: Final answer
    x = 79,498.76

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.