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Finding the Third Proportional to 37,992.38 and 87,952.92

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Solution

The third proportional to 37,992.38 and 87,952.92 is: 203,612.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,992.38 : 87,952.92 = 87,952.92 : x
  2. Step 2: Convert to fraction form
    37,992.38/87,952.92 = 87,952.92/x
  3. Step 3: Cross multiply
    37,992.38x = 87,952.92 × 87,952.92
  4. Step 4: Simplify right side
    37,992.38x = 7,735,716,466.35
  5. Step 5: Solve for x
    x = 7,735,716,466.35/37,992.38
  6. Step 6: Final answer
    x = 203,612.34

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.