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Finding the Third Proportional to 6,093.98 and 11,929.78

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Solution

The third proportional to 6,093.98 and 11,929.78 is: 23,354.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,093.98 : 11,929.78 = 11,929.78 : x
  2. Step 2: Convert to fraction form
    6,093.98/11,929.78 = 11,929.78/x
  3. Step 3: Cross multiply
    6,093.98x = 11,929.78 × 11,929.78
  4. Step 4: Simplify right side
    6,093.98x = 142,319,680.67
  5. Step 5: Solve for x
    x = 142,319,680.67/6,093.98
  6. Step 6: Final answer
    x = 23,354.13

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Why These Related Problems?

These problems maintain the same ratio (1.96) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.