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Finding the Third Proportional to 937.41 and 1,692.56

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Solution

The third proportional to 937.41 and 1,692.56 is: 3,056.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.41 : 1,692.56 = 1,692.56 : x
  2. Step 2: Convert to fraction form
    937.41/1,692.56 = 1,692.56/x
  3. Step 3: Cross multiply
    937.41x = 1,692.56 × 1,692.56
  4. Step 4: Simplify right side
    937.41x = 2,864,767.82
  5. Step 5: Solve for x
    x = 2,864,767.82/937.41
  6. Step 6: Final answer
    x = 3,056.06

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.