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Finding the Third Proportional to 38,484 and 57,836

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Solution

The third proportional to 38,484 and 57,836 is: 86,919.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,484 : 57,836 = 57,836 : x
  2. Step 2: Convert to fraction form
    38,484/57,836 = 57,836/x
  3. Step 3: Cross multiply
    38,484x = 57,836 × 57,836
  4. Step 4: Simplify right side
    38,484x = 3,345,002,896
  5. Step 5: Solve for x
    x = 3,345,002,896/38,484
  6. Step 6: Final answer
    x = 86,919.31

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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.