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Finding the Third Proportional to 23,523.75 and 27,047.25

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Solution

The third proportional to 23,523.75 and 27,047.25 is: 31,098.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,523.75 : 27,047.25 = 27,047.25 : x
  2. Step 2: Convert to fraction form
    23,523.75/27,047.25 = 27,047.25/x
  3. Step 3: Cross multiply
    23,523.75x = 27,047.25 × 27,047.25
  4. Step 4: Simplify right side
    23,523.75x = 731,553,732.56
  5. Step 5: Solve for x
    x = 731,553,732.56/23,523.75
  6. Step 6: Final answer
    x = 31,098.52

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.