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Finding the Third Proportional to 1,729.13 and 2,976.19

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Solution

The third proportional to 1,729.13 and 2,976.19 is: 5,122.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.13 : 2,976.19 = 2,976.19 : x
  2. Step 2: Convert to fraction form
    1,729.13/2,976.19 = 2,976.19/x
  3. Step 3: Cross multiply
    1,729.13x = 2,976.19 × 2,976.19
  4. Step 4: Simplify right side
    1,729.13x = 8,857,692.04
  5. Step 5: Solve for x
    x = 8,857,692.04/1,729.13
  6. Step 6: Final answer
    x = 5,122.64

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.