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Finding the Third Proportional to 8,266 and 19,978

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Solution

The third proportional to 8,266 and 19,978 is: 48,284.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,266 : 19,978 = 19,978 : x
  2. Step 2: Convert to fraction form
    8,266/19,978 = 19,978/x
  3. Step 3: Cross multiply
    8,266x = 19,978 × 19,978
  4. Step 4: Simplify right side
    8,266x = 399,120,484
  5. Step 5: Solve for x
    x = 399,120,484/8,266
  6. Step 6: Final answer
    x = 48,284.60

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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.