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Finding the Third Proportional to 4,853 and 10,147

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Solution

The third proportional to 4,853 and 10,147 is: 21,216.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,853 : 10,147 = 10,147 : x
  2. Step 2: Convert to fraction form
    4,853/10,147 = 10,147/x
  3. Step 3: Cross multiply
    4,853x = 10,147 × 10,147
  4. Step 4: Simplify right side
    4,853x = 102,961,609
  5. Step 5: Solve for x
    x = 102,961,609/4,853
  6. Step 6: Final answer
    x = 21,216.07

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.