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Finding the Third Proportional to 4,457 and 5,267

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Solution

The third proportional to 4,457 and 5,267 is: 6,224.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,457 : 5,267 = 5,267 : x
  2. Step 2: Convert to fraction form
    4,457/5,267 = 5,267/x
  3. Step 3: Cross multiply
    4,457x = 5,267 × 5,267
  4. Step 4: Simplify right side
    4,457x = 27,741,289
  5. Step 5: Solve for x
    x = 27,741,289/4,457
  6. Step 6: Final answer
    x = 6,224.21

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.