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Finding the Third Proportional to 27,394 and 56,893

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Solution

The third proportional to 27,394 and 56,893 is: 118,157.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,394 : 56,893 = 56,893 : x
  2. Step 2: Convert to fraction form
    27,394/56,893 = 56,893/x
  3. Step 3: Cross multiply
    27,394x = 56,893 × 56,893
  4. Step 4: Simplify right side
    27,394x = 3,236,813,449
  5. Step 5: Solve for x
    x = 3,236,813,449/27,394
  6. Step 6: Final answer
    x = 118,157.75

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.