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Finding the Third Proportional to 12,301.88 and 27,238.78

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Solution

The third proportional to 12,301.88 and 27,238.78 is: 60,312.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,301.88 : 27,238.78 = 27,238.78 : x
  2. Step 2: Convert to fraction form
    12,301.88/27,238.78 = 27,238.78/x
  3. Step 3: Cross multiply
    12,301.88x = 27,238.78 × 27,238.78
  4. Step 4: Simplify right side
    12,301.88x = 741,951,203.99
  5. Step 5: Solve for x
    x = 741,951,203.99/12,301.88
  6. Step 6: Final answer
    x = 60,312.04

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.