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Finding the Third Proportional to 11,712 and 25,092

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Solution

The third proportional to 11,712 and 25,092 is: 53,757.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,712 : 25,092 = 25,092 : x
  2. Step 2: Convert to fraction form
    11,712/25,092 = 25,092/x
  3. Step 3: Cross multiply
    11,712x = 25,092 × 25,092
  4. Step 4: Simplify right side
    11,712x = 629,608,464
  5. Step 5: Solve for x
    x = 629,608,464/11,712
  6. Step 6: Final answer
    x = 53,757.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.