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Finding the Third Proportional to 20,742.75 and 31,579.88

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Solution

The third proportional to 20,742.75 and 31,579.88 is: 48,078.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,742.75 : 31,579.88 = 31,579.88 : x
  2. Step 2: Convert to fraction form
    20,742.75/31,579.88 = 31,579.88/x
  3. Step 3: Cross multiply
    20,742.75x = 31,579.88 × 31,579.88
  4. Step 4: Simplify right side
    20,742.75x = 997,288,505.02
  5. Step 5: Solve for x
    x = 997,288,505.02/20,742.75
  6. Step 6: Final answer
    x = 48,078.90

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.