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Finding the Third Proportional to 26,069 and 56,917

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Solution

The third proportional to 26,069 and 56,917 is: 124,268.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,069 : 56,917 = 56,917 : x
  2. Step 2: Convert to fraction form
    26,069/56,917 = 56,917/x
  3. Step 3: Cross multiply
    26,069x = 56,917 × 56,917
  4. Step 4: Simplify right side
    26,069x = 3,239,544,889
  5. Step 5: Solve for x
    x = 3,239,544,889/26,069
  6. Step 6: Final answer
    x = 124,268.09

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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.