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Finding the Third Proportional to 785.34 and 1,692.09

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Solution

The third proportional to 785.34 and 1,692.09 is: 3,645.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.34 : 1,692.09 = 1,692.09 : x
  2. Step 2: Convert to fraction form
    785.34/1,692.09 = 1,692.09/x
  3. Step 3: Cross multiply
    785.34x = 1,692.09 × 1,692.09
  4. Step 4: Simplify right side
    785.34x = 2,863,181.26
  5. Step 5: Solve for x
    x = 2,863,181.26/785.34
  6. Step 6: Final answer
    x = 3,645.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.