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Finding the Third Proportional to 20,906.44 and 45,964.13

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Solution

The third proportional to 20,906.44 and 45,964.13 is: 101,055.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,906.44 : 45,964.13 = 45,964.13 : x
  2. Step 2: Convert to fraction form
    20,906.44/45,964.13 = 45,964.13/x
  3. Step 3: Cross multiply
    20,906.44x = 45,964.13 × 45,964.13
  4. Step 4: Simplify right side
    20,906.44x = 2,112,700,787.02
  5. Step 5: Solve for x
    x = 2,112,700,787.02/20,906.44
  6. Step 6: Final answer
    x = 101,055.04

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.