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Finding the Third Proportional to 20,310.75 and 31,390.03

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Solution

The third proportional to 20,310.75 and 31,390.03 is: 48,512.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,310.75 : 31,390.03 = 31,390.03 : x
  2. Step 2: Convert to fraction form
    20,310.75/31,390.03 = 31,390.03/x
  3. Step 3: Cross multiply
    20,310.75x = 31,390.03 × 31,390.03
  4. Step 4: Simplify right side
    20,310.75x = 985,334,061.88
  5. Step 5: Solve for x
    x = 985,334,061.88/20,310.75
  6. Step 6: Final answer
    x = 48,512.93

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.