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Finding the Third Proportional to 1,227.02 and 2,562.89

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Solution

The third proportional to 1,227.02 and 2,562.89 is: 5,353.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.02 : 2,562.89 = 2,562.89 : x
  2. Step 2: Convert to fraction form
    1,227.02/2,562.89 = 2,562.89/x
  3. Step 3: Cross multiply
    1,227.02x = 2,562.89 × 2,562.89
  4. Step 4: Simplify right side
    1,227.02x = 6,568,408.36
  5. Step 5: Solve for x
    x = 6,568,408.36/1,227.02
  6. Step 6: Final answer
    x = 5,353.12

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.