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Finding the Third Proportional to 7,832 and 16,897

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Solution

The third proportional to 7,832 and 16,897 is: 36,454.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832 : 16,897 = 16,897 : x
  2. Step 2: Convert to fraction form
    7,832/16,897 = 16,897/x
  3. Step 3: Cross multiply
    7,832x = 16,897 × 16,897
  4. Step 4: Simplify right side
    7,832x = 285,508,609
  5. Step 5: Solve for x
    x = 285,508,609/7,832
  6. Step 6: Final answer
    x = 36,454.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.