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Finding the Third Proportional to 37,900 and 56,850

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Solution

The third proportional to 37,900 and 56,850 is: 85,275

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,900 : 56,850 = 56,850 : x
  2. Step 2: Convert to fraction form
    37,900/56,850 = 56,850/x
  3. Step 3: Cross multiply
    37,900x = 56,850 × 56,850
  4. Step 4: Simplify right side
    37,900x = 3,231,922,500
  5. Step 5: Solve for x
    x = 3,231,922,500/37,900
  6. Step 6: Final answer
    x = 85,275

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