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Finding the Third Proportional to 38,836 and 58,096

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Solution

The third proportional to 38,836 and 58,096 is: 86,907.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,836 : 58,096 = 58,096 : x
  2. Step 2: Convert to fraction form
    38,836/58,096 = 58,096/x
  3. Step 3: Cross multiply
    38,836x = 58,096 × 58,096
  4. Step 4: Simplify right side
    38,836x = 3,375,145,216
  5. Step 5: Solve for x
    x = 3,375,145,216/38,836
  6. Step 6: Final answer
    x = 86,907.64

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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.