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Finding the Third Proportional to 6,204.75 and 12,738

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Solution

The third proportional to 6,204.75 and 12,738 is: 26,150.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,204.75 : 12,738 = 12,738 : x
  2. Step 2: Convert to fraction form
    6,204.75/12,738 = 12,738/x
  3. Step 3: Cross multiply
    6,204.75x = 12,738 × 12,738
  4. Step 4: Simplify right side
    6,204.75x = 162,256,644
  5. Step 5: Solve for x
    x = 162,256,644/6,204.75
  6. Step 6: Final answer
    x = 26,150.39

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.