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Finding the Third Proportional to 4,242 and 10,194

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Solution

The third proportional to 4,242 and 10,194 is: 24,497.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,242 : 10,194 = 10,194 : x
  2. Step 2: Convert to fraction form
    4,242/10,194 = 10,194/x
  3. Step 3: Cross multiply
    4,242x = 10,194 × 10,194
  4. Step 4: Simplify right side
    4,242x = 103,917,636
  5. Step 5: Solve for x
    x = 103,917,636/4,242
  6. Step 6: Final answer
    x = 24,497.32

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.