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Finding the Third Proportional to 2,086.13 and 3,122.69

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Solution

The third proportional to 2,086.13 and 3,122.69 is: 4,674.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.13 : 3,122.69 = 3,122.69 : x
  2. Step 2: Convert to fraction form
    2,086.13/3,122.69 = 3,122.69/x
  3. Step 3: Cross multiply
    2,086.13x = 3,122.69 × 3,122.69
  4. Step 4: Simplify right side
    2,086.13x = 9,751,177.22
  5. Step 5: Solve for x
    x = 9,751,177.22/2,086.13
  6. Step 6: Final answer
    x = 4,674.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.