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Finding the Third Proportional to 36,844 and 58,610

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Solution

The third proportional to 36,844 and 58,610 is: 93,234.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,844 : 58,610 = 58,610 : x
  2. Step 2: Convert to fraction form
    36,844/58,610 = 58,610/x
  3. Step 3: Cross multiply
    36,844x = 58,610 × 58,610
  4. Step 4: Simplify right side
    36,844x = 3,435,132,100
  5. Step 5: Solve for x
    x = 3,435,132,100/36,844
  6. Step 6: Final answer
    x = 93,234.50

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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.