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Finding the Third Proportional to 20,171.53 and 42,650.30

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Solution

The third proportional to 20,171.53 and 42,650.30 is: 90,178.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,171.53 : 42,650.30 = 42,650.30 : x
  2. Step 2: Convert to fraction form
    20,171.53/42,650.30 = 42,650.30/x
  3. Step 3: Cross multiply
    20,171.53x = 42,650.30 × 42,650.30
  4. Step 4: Simplify right side
    20,171.53x = 1,819,047,823.53
  5. Step 5: Solve for x
    x = 1,819,047,823.53/20,171.53
  6. Step 6: Final answer
    x = 90,178.97

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.