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Finding the Third Proportional to 19,873 and 30,983

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Solution

The third proportional to 19,873 and 30,983 is: 48,304.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,873 : 30,983 = 30,983 : x
  2. Step 2: Convert to fraction form
    19,873/30,983 = 30,983/x
  3. Step 3: Cross multiply
    19,873x = 30,983 × 30,983
  4. Step 4: Simplify right side
    19,873x = 959,946,289
  5. Step 5: Solve for x
    x = 959,946,289/19,873
  6. Step 6: Final answer
    x = 48,304.05

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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.