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Finding the Third Proportional to 2,511.84 and 5,324.91

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Solution

The third proportional to 2,511.84 and 5,324.91 is: 11,288.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,511.84 : 5,324.91 = 5,324.91 : x
  2. Step 2: Convert to fraction form
    2,511.84/5,324.91 = 5,324.91/x
  3. Step 3: Cross multiply
    2,511.84x = 5,324.91 × 5,324.91
  4. Step 4: Simplify right side
    2,511.84x = 28,354,626.57
  5. Step 5: Solve for x
    x = 28,354,626.57/2,511.84
  6. Step 6: Final answer
    x = 11,288.37

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.