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Finding the Third Proportional to 20,786.31 and 45,596.30

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Solution

The third proportional to 20,786.31 and 45,596.30 is: 100,018.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,786.31 : 45,596.30 = 45,596.30 : x
  2. Step 2: Convert to fraction form
    20,786.31/45,596.30 = 45,596.30/x
  3. Step 3: Cross multiply
    20,786.31x = 45,596.30 × 45,596.30
  4. Step 4: Simplify right side
    20,786.31x = 2,079,022,823.04
  5. Step 5: Solve for x
    x = 2,079,022,823.04/20,786.31
  6. Step 6: Final answer
    x = 100,018.86

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.