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Finding the Third Proportional to 772.75 and 2,011.38

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Solution

The third proportional to 772.75 and 2,011.38 is: 5,235.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.75 : 2,011.38 = 2,011.38 : x
  2. Step 2: Convert to fraction form
    772.75/2,011.38 = 2,011.38/x
  3. Step 3: Cross multiply
    772.75x = 2,011.38 × 2,011.38
  4. Step 4: Simplify right side
    772.75x = 4,045,629.39
  5. Step 5: Solve for x
    x = 4,045,629.39/772.75
  6. Step 6: Final answer
    x = 5,235.37

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.