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Finding the Third Proportional to 31,950 and 44,799.75

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Solution

The third proportional to 31,950 and 44,799.75 is: 62,817.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,950 : 44,799.75 = 44,799.75 : x
  2. Step 2: Convert to fraction form
    31,950/44,799.75 = 44,799.75/x
  3. Step 3: Cross multiply
    31,950x = 44,799.75 × 44,799.75
  4. Step 4: Simplify right side
    31,950x = 2,007,017,600.06
  5. Step 5: Solve for x
    x = 2,007,017,600.06/31,950
  6. Step 6: Final answer
    x = 62,817.45

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.