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Finding the Third Proportional to 31,692.94 and 49,357.69

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Solution

The third proportional to 31,692.94 and 49,357.69 is: 76,868.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,692.94 : 49,357.69 = 49,357.69 : x
  2. Step 2: Convert to fraction form
    31,692.94/49,357.69 = 49,357.69/x
  3. Step 3: Cross multiply
    31,692.94x = 49,357.69 × 49,357.69
  4. Step 4: Simplify right side
    31,692.94x = 2,436,181,315.35
  5. Step 5: Solve for x
    x = 2,436,181,315.35/31,692.94
  6. Step 6: Final answer
    x = 76,868.27

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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.