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Finding the Third Proportional to 13,034.25 and 26,676

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Solution

The third proportional to 13,034.25 and 26,676 is: 54,595.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,034.25 : 26,676 = 26,676 : x
  2. Step 2: Convert to fraction form
    13,034.25/26,676 = 26,676/x
  3. Step 3: Cross multiply
    13,034.25x = 26,676 × 26,676
  4. Step 4: Simplify right side
    13,034.25x = 711,608,976
  5. Step 5: Solve for x
    x = 711,608,976/13,034.25
  6. Step 6: Final answer
    x = 54,595.31

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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.