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Finding the Third Proportional to 2,692.13 and 5,703.84

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Solution

The third proportional to 2,692.13 and 5,703.84 is: 12,084.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692.13 : 5,703.84 = 5,703.84 : x
  2. Step 2: Convert to fraction form
    2,692.13/5,703.84 = 5,703.84/x
  3. Step 3: Cross multiply
    2,692.13x = 5,703.84 × 5,703.84
  4. Step 4: Simplify right side
    2,692.13x = 32,533,833.52
  5. Step 5: Solve for x
    x = 32,533,833.52/2,692.13
  6. Step 6: Final answer
    x = 12,084.82

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.