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Finding the Third Proportional to 2,418.89 and 5,299.17

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Solution

The third proportional to 2,418.89 and 5,299.17 is: 11,609.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,418.89 : 5,299.17 = 5,299.17 : x
  2. Step 2: Convert to fraction form
    2,418.89/5,299.17 = 5,299.17/x
  3. Step 3: Cross multiply
    2,418.89x = 5,299.17 × 5,299.17
  4. Step 4: Simplify right side
    2,418.89x = 28,081,222.56
  5. Step 5: Solve for x
    x = 28,081,222.56/2,418.89
  6. Step 6: Final answer
    x = 11,609.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.