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Finding the Third Proportional to 16,040 and 38,372

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Solution

The third proportional to 16,040 and 38,372 is: 91,796.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,040 : 38,372 = 38,372 : x
  2. Step 2: Convert to fraction form
    16,040/38,372 = 38,372/x
  3. Step 3: Cross multiply
    16,040x = 38,372 × 38,372
  4. Step 4: Simplify right side
    16,040x = 1,472,410,384
  5. Step 5: Solve for x
    x = 1,472,410,384/16,040
  6. Step 6: Final answer
    x = 91,796.16

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.