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Finding the Third Proportional to 20,161.41 and 30,314.25

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Solution

The third proportional to 20,161.41 and 30,314.25 is: 45,579.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,161.41 : 30,314.25 = 30,314.25 : x
  2. Step 2: Convert to fraction form
    20,161.41/30,314.25 = 30,314.25/x
  3. Step 3: Cross multiply
    20,161.41x = 30,314.25 × 30,314.25
  4. Step 4: Simplify right side
    20,161.41x = 918,953,753.06
  5. Step 5: Solve for x
    x = 918,953,753.06/20,161.41
  6. Step 6: Final answer
    x = 45,579.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.