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Finding the Third Proportional to 12,393 and 27,011.29

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Solution

The third proportional to 12,393 and 27,011.29 is: 58,872.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,393 : 27,011.29 = 27,011.29 : x
  2. Step 2: Convert to fraction form
    12,393/27,011.29 = 27,011.29/x
  3. Step 3: Cross multiply
    12,393x = 27,011.29 × 27,011.29
  4. Step 4: Simplify right side
    12,393x = 729,609,525.79
  5. Step 5: Solve for x
    x = 729,609,525.79/12,393
  6. Step 6: Final answer
    x = 58,872.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.