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Finding the Third Proportional to 1,271.64 and 2,794.82

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Solution

The third proportional to 1,271.64 and 2,794.82 is: 6,142.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.64 : 2,794.82 = 2,794.82 : x
  2. Step 2: Convert to fraction form
    1,271.64/2,794.82 = 2,794.82/x
  3. Step 3: Cross multiply
    1,271.64x = 2,794.82 × 2,794.82
  4. Step 4: Simplify right side
    1,271.64x = 7,810,998.74
  5. Step 5: Solve for x
    x = 7,810,998.74/1,271.64
  6. Step 6: Final answer
    x = 6,142.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.