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Finding the Third Proportional to 1,692.14 and 3,410.86

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Solution

The third proportional to 1,692.14 and 3,410.86 is: 6,875.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.14 : 3,410.86 = 3,410.86 : x
  2. Step 2: Convert to fraction form
    1,692.14/3,410.86 = 3,410.86/x
  3. Step 3: Cross multiply
    1,692.14x = 3,410.86 × 3,410.86
  4. Step 4: Simplify right side
    1,692.14x = 11,633,961.68
  5. Step 5: Solve for x
    x = 11,633,961.68/1,692.14
  6. Step 6: Final answer
    x = 6,875.29

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.