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Finding the Third Proportional to 12,743 and 27,429

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Solution

The third proportional to 12,743 and 27,429 is: 59,040.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,743 : 27,429 = 27,429 : x
  2. Step 2: Convert to fraction form
    12,743/27,429 = 27,429/x
  3. Step 3: Cross multiply
    12,743x = 27,429 × 27,429
  4. Step 4: Simplify right side
    12,743x = 752,350,041
  5. Step 5: Solve for x
    x = 752,350,041/12,743
  6. Step 6: Final answer
    x = 59,040.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.