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Finding the Third Proportional to 40,575.75 and 87,393

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Solution

The third proportional to 40,575.75 and 87,393 is: 188,229.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,575.75 : 87,393 = 87,393 : x
  2. Step 2: Convert to fraction form
    40,575.75/87,393 = 87,393/x
  3. Step 3: Cross multiply
    40,575.75x = 87,393 × 87,393
  4. Step 4: Simplify right side
    40,575.75x = 7,637,536,449
  5. Step 5: Solve for x
    x = 7,637,536,449/40,575.75
  6. Step 6: Final answer
    x = 188,229.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.