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Finding the Third Proportional to 961.03 and 2,215.27

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Solution

The third proportional to 961.03 and 2,215.27 is: 5,106.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.03 : 2,215.27 = 2,215.27 : x
  2. Step 2: Convert to fraction form
    961.03/2,215.27 = 2,215.27/x
  3. Step 3: Cross multiply
    961.03x = 2,215.27 × 2,215.27
  4. Step 4: Simplify right side
    961.03x = 4,907,401.79
  5. Step 5: Solve for x
    x = 4,907,401.79/961.03
  6. Step 6: Final answer
    x = 5,106.39

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.