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Finding the Third Proportional to 2,409.75 and 5,212.69

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Solution

The third proportional to 2,409.75 and 5,212.69 is: 11,275.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.75 : 5,212.69 = 5,212.69 : x
  2. Step 2: Convert to fraction form
    2,409.75/5,212.69 = 5,212.69/x
  3. Step 3: Cross multiply
    2,409.75x = 5,212.69 × 5,212.69
  4. Step 4: Simplify right side
    2,409.75x = 27,172,110.97
  5. Step 5: Solve for x
    x = 27,172,110.97/2,409.75
  6. Step 6: Final answer
    x = 11,275.90

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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.