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Finding the Third Proportional to 12,429 and 27,189

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Solution

The third proportional to 12,429 and 27,189 is: 59,477.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,429 : 27,189 = 27,189 : x
  2. Step 2: Convert to fraction form
    12,429/27,189 = 27,189/x
  3. Step 3: Cross multiply
    12,429x = 27,189 × 27,189
  4. Step 4: Simplify right side
    12,429x = 739,241,721
  5. Step 5: Solve for x
    x = 739,241,721/12,429
  6. Step 6: Final answer
    x = 59,477.17

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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.