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Finding the Third Proportional to 37,682 and 58,800

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Solution

The third proportional to 37,682 and 58,800 is: 91,753.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,682 : 58,800 = 58,800 : x
  2. Step 2: Convert to fraction form
    37,682/58,800 = 58,800/x
  3. Step 3: Cross multiply
    37,682x = 58,800 × 58,800
  4. Step 4: Simplify right side
    37,682x = 3,457,440,000
  5. Step 5: Solve for x
    x = 3,457,440,000/37,682
  6. Step 6: Final answer
    x = 91,753.09

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.