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Finding the Third Proportional to 4,227 and 4,893

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Solution

The third proportional to 4,227 and 4,893 is: 5,663.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,227 : 4,893 = 4,893 : x
  2. Step 2: Convert to fraction form
    4,227/4,893 = 4,893/x
  3. Step 3: Cross multiply
    4,227x = 4,893 × 4,893
  4. Step 4: Simplify right side
    4,227x = 23,941,449
  5. Step 5: Solve for x
    x = 23,941,449/4,227
  6. Step 6: Final answer
    x = 5,663.93

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.