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Finding the Third Proportional to 36,928 and 52,764

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Solution

The third proportional to 36,928 and 52,764 is: 75,391.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,928 : 52,764 = 52,764 : x
  2. Step 2: Convert to fraction form
    36,928/52,764 = 52,764/x
  3. Step 3: Cross multiply
    36,928x = 52,764 × 52,764
  4. Step 4: Simplify right side
    36,928x = 2,784,039,696
  5. Step 5: Solve for x
    x = 2,784,039,696/36,928
  6. Step 6: Final answer
    x = 75,391.02

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.