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Finding the Third Proportional to 19,108.75 and 27,523.75

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Solution

The third proportional to 19,108.75 and 27,523.75 is: 39,644.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,108.75 : 27,523.75 = 27,523.75 : x
  2. Step 2: Convert to fraction form
    19,108.75/27,523.75 = 27,523.75/x
  3. Step 3: Cross multiply
    19,108.75x = 27,523.75 × 27,523.75
  4. Step 4: Simplify right side
    19,108.75x = 757,556,814.06
  5. Step 5: Solve for x
    x = 757,556,814.06/19,108.75
  6. Step 6: Final answer
    x = 39,644.50

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.