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Finding the Third Proportional to 16,022 and 24,899

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Solution

The third proportional to 16,022 and 24,899 is: 38,694.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,022 : 24,899 = 24,899 : x
  2. Step 2: Convert to fraction form
    16,022/24,899 = 24,899/x
  3. Step 3: Cross multiply
    16,022x = 24,899 × 24,899
  4. Step 4: Simplify right side
    16,022x = 619,960,201
  5. Step 5: Solve for x
    x = 619,960,201/16,022
  6. Step 6: Final answer
    x = 38,694.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.