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Finding the Third Proportional to 7,985 and 16,186

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Solution

The third proportional to 7,985 and 16,186 is: 32,809.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,985 : 16,186 = 16,186 : x
  2. Step 2: Convert to fraction form
    7,985/16,186 = 16,186/x
  3. Step 3: Cross multiply
    7,985x = 16,186 × 16,186
  4. Step 4: Simplify right side
    7,985x = 261,986,596
  5. Step 5: Solve for x
    x = 261,986,596/7,985
  6. Step 6: Final answer
    x = 32,809.84

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.