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Finding the Third Proportional to 36,484 and 54,990

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Solution

The third proportional to 36,484 and 54,990 is: 82,882.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,484 : 54,990 = 54,990 : x
  2. Step 2: Convert to fraction form
    36,484/54,990 = 54,990/x
  3. Step 3: Cross multiply
    36,484x = 54,990 × 54,990
  4. Step 4: Simplify right side
    36,484x = 3,023,900,100
  5. Step 5: Solve for x
    x = 3,023,900,100/36,484
  6. Step 6: Final answer
    x = 82,882.91

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.