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Finding the Third Proportional to 31,950 and 47,945.25

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Solution

The third proportional to 31,950 and 47,945.25 is: 71,948.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,950 : 47,945.25 = 47,945.25 : x
  2. Step 2: Convert to fraction form
    31,950/47,945.25 = 47,945.25/x
  3. Step 3: Cross multiply
    31,950x = 47,945.25 × 47,945.25
  4. Step 4: Simplify right side
    31,950x = 2,298,746,997.56
  5. Step 5: Solve for x
    x = 2,298,746,997.56/31,950
  6. Step 6: Final answer
    x = 71,948.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.