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Finding the Third Proportional to 6,865 and 16,187

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Solution

The third proportional to 6,865 and 16,187 is: 38,167.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,865 : 16,187 = 16,187 : x
  2. Step 2: Convert to fraction form
    6,865/16,187 = 16,187/x
  3. Step 3: Cross multiply
    6,865x = 16,187 × 16,187
  4. Step 4: Simplify right side
    6,865x = 262,018,969
  5. Step 5: Solve for x
    x = 262,018,969/6,865
  6. Step 6: Final answer
    x = 38,167.37

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.