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Finding the Third Proportional to 20,014.50 and 31,396.50

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Solution

The third proportional to 20,014.50 and 31,396.50 is: 49,251.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,014.50 : 31,396.50 = 31,396.50 : x
  2. Step 2: Convert to fraction form
    20,014.50/31,396.50 = 31,396.50/x
  3. Step 3: Cross multiply
    20,014.50x = 31,396.50 × 31,396.50
  4. Step 4: Simplify right side
    20,014.50x = 985,740,212.25
  5. Step 5: Solve for x
    x = 985,740,212.25/20,014.50
  6. Step 6: Final answer
    x = 49,251.30

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.