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Finding the Third Proportional to 25,759 and 54,893

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Solution

The third proportional to 25,759 and 54,893 is: 116,978.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,759 : 54,893 = 54,893 : x
  2. Step 2: Convert to fraction form
    25,759/54,893 = 54,893/x
  3. Step 3: Cross multiply
    25,759x = 54,893 × 54,893
  4. Step 4: Simplify right side
    25,759x = 3,013,241,449
  5. Step 5: Solve for x
    x = 3,013,241,449/25,759
  6. Step 6: Final answer
    x = 116,978.20

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.