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Finding the Third Proportional to 12,924.56 and 26,679.38

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Solution

The third proportional to 12,924.56 and 26,679.38 is: 55,072.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,924.56 : 26,679.38 = 26,679.38 : x
  2. Step 2: Convert to fraction form
    12,924.56/26,679.38 = 26,679.38/x
  3. Step 3: Cross multiply
    12,924.56x = 26,679.38 × 26,679.38
  4. Step 4: Simplify right side
    12,924.56x = 711,789,050.39
  5. Step 5: Solve for x
    x = 711,789,050.39/12,924.56
  6. Step 6: Final answer
    x = 55,072.58

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.