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Finding the Third Proportional to 37,107 and 58,995

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Solution

The third proportional to 37,107 and 58,995 is: 93,793.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,107 : 58,995 = 58,995 : x
  2. Step 2: Convert to fraction form
    37,107/58,995 = 58,995/x
  3. Step 3: Cross multiply
    37,107x = 58,995 × 58,995
  4. Step 4: Simplify right side
    37,107x = 3,480,410,025
  5. Step 5: Solve for x
    x = 3,480,410,025/37,107
  6. Step 6: Final answer
    x = 93,793.89

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.