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Finding the Third Proportional to 12,743 and 26,383

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Solution

The third proportional to 12,743 and 26,383 is: 54,623.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,743 : 26,383 = 26,383 : x
  2. Step 2: Convert to fraction form
    12,743/26,383 = 26,383/x
  3. Step 3: Cross multiply
    12,743x = 26,383 × 26,383
  4. Step 4: Simplify right side
    12,743x = 696,062,689
  5. Step 5: Solve for x
    x = 696,062,689/12,743
  6. Step 6: Final answer
    x = 54,623.14

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.