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Finding the Third Proportional to 31,692.52 and 49,048.03

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Solution

The third proportional to 31,692.52 and 49,048.03 is: 75,907.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,692.52 : 49,048.03 = 49,048.03 : x
  2. Step 2: Convert to fraction form
    31,692.52/49,048.03 = 49,048.03/x
  3. Step 3: Cross multiply
    31,692.52x = 49,048.03 × 49,048.03
  4. Step 4: Simplify right side
    31,692.52x = 2,405,709,369.50
  5. Step 5: Solve for x
    x = 2,405,709,369.50/31,692.52
  6. Step 6: Final answer
    x = 75,907.81

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.