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Finding the Third Proportional to 692.93 and 1,350.42

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Solution

The third proportional to 692.93 and 1,350.42 is: 2,631.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.93 : 1,350.42 = 1,350.42 : x
  2. Step 2: Convert to fraction form
    692.93/1,350.42 = 1,350.42/x
  3. Step 3: Cross multiply
    692.93x = 1,350.42 × 1,350.42
  4. Step 4: Simplify right side
    692.93x = 1,823,639.24
  5. Step 5: Solve for x
    x = 1,823,639.24/692.93
  6. Step 6: Final answer
    x = 2,631.78

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.