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Finding the Third Proportional to 19,772 and 30,793

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Solution

The third proportional to 19,772 and 30,793 is: 47,957.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,772 : 30,793 = 30,793 : x
  2. Step 2: Convert to fraction form
    19,772/30,793 = 30,793/x
  3. Step 3: Cross multiply
    19,772x = 30,793 × 30,793
  4. Step 4: Simplify right side
    19,772x = 948,208,849
  5. Step 5: Solve for x
    x = 948,208,849/19,772
  6. Step 6: Final answer
    x = 47,957.15

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.