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Finding the Third Proportional to 19,772 and 38,968

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Solution

The third proportional to 19,772 and 38,968 is: 76,800.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,772 : 38,968 = 38,968 : x
  2. Step 2: Convert to fraction form
    19,772/38,968 = 38,968/x
  3. Step 3: Cross multiply
    19,772x = 38,968 × 38,968
  4. Step 4: Simplify right side
    19,772x = 1,518,505,024
  5. Step 5: Solve for x
    x = 1,518,505,024/19,772
  6. Step 6: Final answer
    x = 76,800.78

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.