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Finding the Third Proportional to 2,093.06 and 4,951.69

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Solution

The third proportional to 2,093.06 and 4,951.69 is: 11,714.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.06 : 4,951.69 = 4,951.69 : x
  2. Step 2: Convert to fraction form
    2,093.06/4,951.69 = 4,951.69/x
  3. Step 3: Cross multiply
    2,093.06x = 4,951.69 × 4,951.69
  4. Step 4: Simplify right side
    2,093.06x = 24,519,209.10
  5. Step 5: Solve for x
    x = 24,519,209.10/2,093.06
  6. Step 6: Final answer
    x = 11,714.51

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.