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Finding the Third Proportional to 37,098 and 56,876

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Solution

The third proportional to 37,098 and 56,876 is: 87,198.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,098 : 56,876 = 56,876 : x
  2. Step 2: Convert to fraction form
    37,098/56,876 = 56,876/x
  3. Step 3: Cross multiply
    37,098x = 56,876 × 56,876
  4. Step 4: Simplify right side
    37,098x = 3,234,879,376
  5. Step 5: Solve for x
    x = 3,234,879,376/37,098
  6. Step 6: Final answer
    x = 87,198.21

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.