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Finding the Third Proportional to 26,067 and 56,266.50

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Solution

The third proportional to 26,067 and 56,266.50 is: 121,453.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,067 : 56,266.50 = 56,266.50 : x
  2. Step 2: Convert to fraction form
    26,067/56,266.50 = 56,266.50/x
  3. Step 3: Cross multiply
    26,067x = 56,266.50 × 56,266.50
  4. Step 4: Simplify right side
    26,067x = 3,165,919,022.25
  5. Step 5: Solve for x
    x = 3,165,919,022.25/26,067
  6. Step 6: Final answer
    x = 121,453.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.