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Finding the Third Proportional to 6,104.97 and 12,959.34

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Solution

The third proportional to 6,104.97 and 12,959.34 is: 27,509.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,104.97 : 12,959.34 = 12,959.34 : x
  2. Step 2: Convert to fraction form
    6,104.97/12,959.34 = 12,959.34/x
  3. Step 3: Cross multiply
    6,104.97x = 12,959.34 × 12,959.34
  4. Step 4: Simplify right side
    6,104.97x = 167,944,590.43
  5. Step 5: Solve for x
    x = 167,944,590.43/6,104.97
  6. Step 6: Final answer
    x = 27,509.49

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.