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Finding the Third Proportional to 4,137 and 9,757

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Solution

The third proportional to 4,137 and 9,757 is: 23,011.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,137 : 9,757 = 9,757 : x
  2. Step 2: Convert to fraction form
    4,137/9,757 = 9,757/x
  3. Step 3: Cross multiply
    4,137x = 9,757 × 9,757
  4. Step 4: Simplify right side
    4,137x = 95,199,049
  5. Step 5: Solve for x
    x = 95,199,049/4,137
  6. Step 6: Final answer
    x = 23,011.61

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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.