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Finding the Third Proportional to 2,692.88 and 3,950.63

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Solution

The third proportional to 2,692.88 and 3,950.63 is: 5,795.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692.88 : 3,950.63 = 3,950.63 : x
  2. Step 2: Convert to fraction form
    2,692.88/3,950.63 = 3,950.63/x
  3. Step 3: Cross multiply
    2,692.88x = 3,950.63 × 3,950.63
  4. Step 4: Simplify right side
    2,692.88x = 15,607,437.89
  5. Step 5: Solve for x
    x = 15,607,437.89/2,692.88
  6. Step 6: Final answer
    x = 5,795.83

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.