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Finding the Third Proportional to 20,270.25 and 31,200.19

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Solution

The third proportional to 20,270.25 and 31,200.19 is: 48,023.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,270.25 : 31,200.19 = 31,200.19 : x
  2. Step 2: Convert to fraction form
    20,270.25/31,200.19 = 31,200.19/x
  3. Step 3: Cross multiply
    20,270.25x = 31,200.19 × 31,200.19
  4. Step 4: Simplify right side
    20,270.25x = 973,451,700.04
  5. Step 5: Solve for x
    x = 973,451,700.04/20,270.25
  6. Step 6: Final answer
    x = 48,023.67

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.