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Finding the Third Proportional to 38,150 and 58,955

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Solution

The third proportional to 38,150 and 58,955 is: 91,105.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,150 : 58,955 = 58,955 : x
  2. Step 2: Convert to fraction form
    38,150/58,955 = 58,955/x
  3. Step 3: Cross multiply
    38,150x = 58,955 × 58,955
  4. Step 4: Simplify right side
    38,150x = 3,475,692,025
  5. Step 5: Solve for x
    x = 3,475,692,025/38,150
  6. Step 6: Final answer
    x = 91,105.95

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.