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Finding the Third Proportional to 39,990 and 57,600

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Solution

The third proportional to 39,990 and 57,600 is: 82,964.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,990 : 57,600 = 57,600 : x
  2. Step 2: Convert to fraction form
    39,990/57,600 = 57,600/x
  3. Step 3: Cross multiply
    39,990x = 57,600 × 57,600
  4. Step 4: Simplify right side
    39,990x = 3,317,760,000
  5. Step 5: Solve for x
    x = 3,317,760,000/39,990
  6. Step 6: Final answer
    x = 82,964.74

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.