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Finding the Third Proportional to 6,903 and 16,081

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Solution

The third proportional to 6,903 and 16,081 is: 37,461.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,903 : 16,081 = 16,081 : x
  2. Step 2: Convert to fraction form
    6,903/16,081 = 16,081/x
  3. Step 3: Cross multiply
    6,903x = 16,081 × 16,081
  4. Step 4: Simplify right side
    6,903x = 258,598,561
  5. Step 5: Solve for x
    x = 258,598,561/6,903
  6. Step 6: Final answer
    x = 37,461.76

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.