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Finding the Third Proportional to 12,734 and 27,892

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Solution

The third proportional to 12,734 and 27,892 is: 61,093.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,734 : 27,892 = 27,892 : x
  2. Step 2: Convert to fraction form
    12,734/27,892 = 27,892/x
  3. Step 3: Cross multiply
    12,734x = 27,892 × 27,892
  4. Step 4: Simplify right side
    12,734x = 777,963,664
  5. Step 5: Solve for x
    x = 777,963,664/12,734
  6. Step 6: Final answer
    x = 61,093.42

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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.