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Finding the Third Proportional to 36,933 and 58,632

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Solution

The third proportional to 36,933 and 58,632 is: 93,079.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,933 : 58,632 = 58,632 : x
  2. Step 2: Convert to fraction form
    36,933/58,632 = 58,632/x
  3. Step 3: Cross multiply
    36,933x = 58,632 × 58,632
  4. Step 4: Simplify right side
    36,933x = 3,437,711,424
  5. Step 5: Solve for x
    x = 3,437,711,424/36,933
  6. Step 6: Final answer
    x = 93,079.67

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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.