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Finding the Third Proportional to 2,247.75 and 4,866.75

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Solution

The third proportional to 2,247.75 and 4,866.75 is: 10,537.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,247.75 : 4,866.75 = 4,866.75 : x
  2. Step 2: Convert to fraction form
    2,247.75/4,866.75 = 4,866.75/x
  3. Step 3: Cross multiply
    2,247.75x = 4,866.75 × 4,866.75
  4. Step 4: Simplify right side
    2,247.75x = 23,685,255.56
  5. Step 5: Solve for x
    x = 23,685,255.56/2,247.75
  6. Step 6: Final answer
    x = 10,537.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.