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Finding the Third Proportional to 12,433 and 27,229

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Solution

The third proportional to 12,433 and 27,229 is: 59,633.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,433 : 27,229 = 27,229 : x
  2. Step 2: Convert to fraction form
    12,433/27,229 = 27,229/x
  3. Step 3: Cross multiply
    12,433x = 27,229 × 27,229
  4. Step 4: Simplify right side
    12,433x = 741,418,441
  5. Step 5: Solve for x
    x = 741,418,441/12,433
  6. Step 6: Final answer
    x = 59,633.11

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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.