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Finding the Third Proportional to 1,014.24 and 2,195.54

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Solution

The third proportional to 1,014.24 and 2,195.54 is: 4,752.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.24 : 2,195.54 = 2,195.54 : x
  2. Step 2: Convert to fraction form
    1,014.24/2,195.54 = 2,195.54/x
  3. Step 3: Cross multiply
    1,014.24x = 2,195.54 × 2,195.54
  4. Step 4: Simplify right side
    1,014.24x = 4,820,408.93
  5. Step 5: Solve for x
    x = 4,820,408.93/1,014.24
  6. Step 6: Final answer
    x = 4,752.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.