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Finding the Third Proportional to 12,742 and 27,938

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Solution

The third proportional to 12,742 and 27,938 is: 61,256.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,742 : 27,938 = 27,938 : x
  2. Step 2: Convert to fraction form
    12,742/27,938 = 27,938/x
  3. Step 3: Cross multiply
    12,742x = 27,938 × 27,938
  4. Step 4: Simplify right side
    12,742x = 780,531,844
  5. Step 5: Solve for x
    x = 780,531,844/12,742
  6. Step 6: Final answer
    x = 61,256.62

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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.