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Finding the Third Proportional to 2,692.62 and 4,041.77

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Solution

The third proportional to 2,692.62 and 4,041.77 is: 6,066.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692.62 : 4,041.77 = 4,041.77 : x
  2. Step 2: Convert to fraction form
    2,692.62/4,041.77 = 4,041.77/x
  3. Step 3: Cross multiply
    2,692.62x = 4,041.77 × 4,041.77
  4. Step 4: Simplify right side
    2,692.62x = 16,335,932.52
  5. Step 5: Solve for x
    x = 16,335,932.52/2,692.62
  6. Step 6: Final answer
    x = 6,066.93

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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.