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Finding the Third Proportional to 4,203 and 10,161

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Solution

The third proportional to 4,203 and 10,161 is: 24,564.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,203 : 10,161 = 10,161 : x
  2. Step 2: Convert to fraction form
    4,203/10,161 = 10,161/x
  3. Step 3: Cross multiply
    4,203x = 10,161 × 10,161
  4. Step 4: Simplify right side
    4,203x = 103,245,921
  5. Step 5: Solve for x
    x = 103,245,921/4,203
  6. Step 6: Final answer
    x = 24,564.82

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.