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Finding the Third Proportional to 7,583 and 16,198

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Solution

The third proportional to 7,583 and 16,198 is: 34,600.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,583 : 16,198 = 16,198 : x
  2. Step 2: Convert to fraction form
    7,583/16,198 = 16,198/x
  3. Step 3: Cross multiply
    7,583x = 16,198 × 16,198
  4. Step 4: Simplify right side
    7,583x = 262,375,204
  5. Step 5: Solve for x
    x = 262,375,204/7,583
  6. Step 6: Final answer
    x = 34,600.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.