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Finding the Third Proportional to 2,255.34 and 4,843.86

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Solution

The third proportional to 2,255.34 and 4,843.86 is: 10,403.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,255.34 : 4,843.86 = 4,843.86 : x
  2. Step 2: Convert to fraction form
    2,255.34/4,843.86 = 4,843.86/x
  3. Step 3: Cross multiply
    2,255.34x = 4,843.86 × 4,843.86
  4. Step 4: Simplify right side
    2,255.34x = 23,463,011.49
  5. Step 5: Solve for x
    x = 23,463,011.49/2,255.34
  6. Step 6: Final answer
    x = 10,403.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.