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Finding the Third Proportional to 5,134 and 9,800

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Solution

The third proportional to 5,134 and 9,800 is: 18,706.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,134 : 9,800 = 9,800 : x
  2. Step 2: Convert to fraction form
    5,134/9,800 = 9,800/x
  3. Step 3: Cross multiply
    5,134x = 9,800 × 9,800
  4. Step 4: Simplify right side
    5,134x = 96,040,000
  5. Step 5: Solve for x
    x = 96,040,000/5,134
  6. Step 6: Final answer
    x = 18,706.66

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.