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Finding the Third Proportional to 1,266.26 and 2,079.74

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Solution

The third proportional to 1,266.26 and 2,079.74 is: 3,415.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.26 : 2,079.74 = 2,079.74 : x
  2. Step 2: Convert to fraction form
    1,266.26/2,079.74 = 2,079.74/x
  3. Step 3: Cross multiply
    1,266.26x = 2,079.74 × 2,079.74
  4. Step 4: Simplify right side
    1,266.26x = 4,325,311.32
  5. Step 5: Solve for x
    x = 4,325,311.32/1,266.26
  6. Step 6: Final answer
    x = 3,415.82

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.