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Finding the Third Proportional to 26,567 and 57,817

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Solution

The third proportional to 26,567 and 57,817 is: 125,825.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,567 : 57,817 = 57,817 : x
  2. Step 2: Convert to fraction form
    26,567/57,817 = 57,817/x
  3. Step 3: Cross multiply
    26,567x = 57,817 × 57,817
  4. Step 4: Simplify right side
    26,567x = 3,342,805,489
  5. Step 5: Solve for x
    x = 3,342,805,489/26,567
  6. Step 6: Final answer
    x = 125,825.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.