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Finding the Third Proportional to 5,198 and 9,376

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Solution

The third proportional to 5,198 and 9,376 is: 16,912.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198 : 9,376 = 9,376 : x
  2. Step 2: Convert to fraction form
    5,198/9,376 = 9,376/x
  3. Step 3: Cross multiply
    5,198x = 9,376 × 9,376
  4. Step 4: Simplify right side
    5,198x = 87,909,376
  5. Step 5: Solve for x
    x = 87,909,376/5,198
  6. Step 6: Final answer
    x = 16,912.15

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.