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Finding the Third Proportional to 37,900 and 56,849

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Solution

The third proportional to 37,900 and 56,849 is: 85,272.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,900 : 56,849 = 56,849 : x
  2. Step 2: Convert to fraction form
    37,900/56,849 = 56,849/x
  3. Step 3: Cross multiply
    37,900x = 56,849 × 56,849
  4. Step 4: Simplify right side
    37,900x = 3,231,808,801
  5. Step 5: Solve for x
    x = 3,231,808,801/37,900
  6. Step 6: Final answer
    x = 85,272.00

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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.