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Finding the Third Proportional to 4,242 and 10,059

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Solution

The third proportional to 4,242 and 10,059 is: 23,852.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,242 : 10,059 = 10,059 : x
  2. Step 2: Convert to fraction form
    4,242/10,059 = 10,059/x
  3. Step 3: Cross multiply
    4,242x = 10,059 × 10,059
  4. Step 4: Simplify right side
    4,242x = 101,183,481
  5. Step 5: Solve for x
    x = 101,183,481/4,242
  6. Step 6: Final answer
    x = 23,852.78

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.