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Finding the Third Proportional to 22,727.25 and 53,892

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Solution

The third proportional to 22,727.25 and 53,892 is: 127,791.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,727.25 : 53,892 = 53,892 : x
  2. Step 2: Convert to fraction form
    22,727.25/53,892 = 53,892/x
  3. Step 3: Cross multiply
    22,727.25x = 53,892 × 53,892
  4. Step 4: Simplify right side
    22,727.25x = 2,904,347,664
  5. Step 5: Solve for x
    x = 2,904,347,664/22,727.25
  6. Step 6: Final answer
    x = 127,791.43

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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.