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Finding the Third Proportional to 1,271.25 and 2,770.31

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Solution

The third proportional to 1,271.25 and 2,770.31 is: 6,037.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.25 : 2,770.31 = 2,770.31 : x
  2. Step 2: Convert to fraction form
    1,271.25/2,770.31 = 2,770.31/x
  3. Step 3: Cross multiply
    1,271.25x = 2,770.31 × 2,770.31
  4. Step 4: Simplify right side
    1,271.25x = 7,674,631.35
  5. Step 5: Solve for x
    x = 7,674,631.35/1,271.25
  6. Step 6: Final answer
    x = 6,037.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.