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Finding the Third Proportional to 4,349 and 4,757

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Solution

The third proportional to 4,349 and 4,757 is: 5,203.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,349 : 4,757 = 4,757 : x
  2. Step 2: Convert to fraction form
    4,349/4,757 = 4,757/x
  3. Step 3: Cross multiply
    4,349x = 4,757 × 4,757
  4. Step 4: Simplify right side
    4,349x = 22,629,049
  5. Step 5: Solve for x
    x = 22,629,049/4,349
  6. Step 6: Final answer
    x = 5,203.28

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.