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Finding the Third Proportional to 31,934.25 and 47,925

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Solution

The third proportional to 31,934.25 and 47,925 is: 71,922.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,934.25 : 47,925 = 47,925 : x
  2. Step 2: Convert to fraction form
    31,934.25/47,925 = 47,925/x
  3. Step 3: Cross multiply
    31,934.25x = 47,925 × 47,925
  4. Step 4: Simplify right side
    31,934.25x = 2,296,805,625
  5. Step 5: Solve for x
    x = 2,296,805,625/31,934.25
  6. Step 6: Final answer
    x = 71,922.95

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Why These Related Problems?

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