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Finding the Third Proportional to 12,729.66 and 27,924.75

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Solution

The third proportional to 12,729.66 and 27,924.75 is: 61,257.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,729.66 : 27,924.75 = 27,924.75 : x
  2. Step 2: Convert to fraction form
    12,729.66/27,924.75 = 27,924.75/x
  3. Step 3: Cross multiply
    12,729.66x = 27,924.75 × 27,924.75
  4. Step 4: Simplify right side
    12,729.66x = 779,791,662.56
  5. Step 5: Solve for x
    x = 779,791,662.56/12,729.66
  6. Step 6: Final answer
    x = 61,257.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.