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Finding the Third Proportional to 37,384 and 56,116

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Solution

The third proportional to 37,384 and 56,116 is: 84,234.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,384 : 56,116 = 56,116 : x
  2. Step 2: Convert to fraction form
    37,384/56,116 = 56,116/x
  3. Step 3: Cross multiply
    37,384x = 56,116 × 56,116
  4. Step 4: Simplify right side
    37,384x = 3,149,005,456
  5. Step 5: Solve for x
    x = 3,149,005,456/37,384
  6. Step 6: Final answer
    x = 84,234.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.