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Finding the Third Proportional to 20,263 and 31,625

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Solution

The third proportional to 20,263 and 31,625 is: 49,357.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,263 : 31,625 = 31,625 : x
  2. Step 2: Convert to fraction form
    20,263/31,625 = 31,625/x
  3. Step 3: Cross multiply
    20,263x = 31,625 × 31,625
  4. Step 4: Simplify right side
    20,263x = 1,000,140,625
  5. Step 5: Solve for x
    x = 1,000,140,625/20,263
  6. Step 6: Final answer
    x = 49,357.97

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.