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Finding the Third Proportional to 4,997 and 10,757

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Solution

The third proportional to 4,997 and 10,757 is: 23,156.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,997 : 10,757 = 10,757 : x
  2. Step 2: Convert to fraction form
    4,997/10,757 = 10,757/x
  3. Step 3: Cross multiply
    4,997x = 10,757 × 10,757
  4. Step 4: Simplify right side
    4,997x = 115,713,049
  5. Step 5: Solve for x
    x = 115,713,049/4,997
  6. Step 6: Final answer
    x = 23,156.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.