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Finding the Third Proportional to 19,632 and 30,976

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Solution

The third proportional to 19,632 and 30,976 is: 48,874.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,632 : 30,976 = 30,976 : x
  2. Step 2: Convert to fraction form
    19,632/30,976 = 30,976/x
  3. Step 3: Cross multiply
    19,632x = 30,976 × 30,976
  4. Step 4: Simplify right side
    19,632x = 959,512,576
  5. Step 5: Solve for x
    x = 959,512,576/19,632
  6. Step 6: Final answer
    x = 48,874.93

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.