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Finding the Third Proportional to 19,871 and 30,980

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Solution

The third proportional to 19,871 and 30,980 is: 48,299.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,871 : 30,980 = 30,980 : x
  2. Step 2: Convert to fraction form
    19,871/30,980 = 30,980/x
  3. Step 3: Cross multiply
    19,871x = 30,980 × 30,980
  4. Step 4: Simplify right side
    19,871x = 959,760,400
  5. Step 5: Solve for x
    x = 959,760,400/19,871
  6. Step 6: Final answer
    x = 48,299.55

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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.