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Finding the Third Proportional to 25,992 and 55,542

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Solution

The third proportional to 25,992 and 55,542 is: 118,687.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,992 : 55,542 = 55,542 : x
  2. Step 2: Convert to fraction form
    25,992/55,542 = 55,542/x
  3. Step 3: Cross multiply
    25,992x = 55,542 × 55,542
  4. Step 4: Simplify right side
    25,992x = 3,084,913,764
  5. Step 5: Solve for x
    x = 3,084,913,764/25,992
  6. Step 6: Final answer
    x = 118,687.05

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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.