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Finding the Third Proportional to 21,778.31 and 47,520.56

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Solution

The third proportional to 21,778.31 and 47,520.56 is: 103,690.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,778.31 : 47,520.56 = 47,520.56 : x
  2. Step 2: Convert to fraction form
    21,778.31/47,520.56 = 47,520.56/x
  3. Step 3: Cross multiply
    21,778.31x = 47,520.56 × 47,520.56
  4. Step 4: Simplify right side
    21,778.31x = 2,258,203,860.32
  5. Step 5: Solve for x
    x = 2,258,203,860.32/21,778.31
  6. Step 6: Final answer
    x = 103,690.49

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.