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Finding the Third Proportional to 26,012 and 56,404

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Solution

The third proportional to 26,012 and 56,404 is: 122,305.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,012 : 56,404 = 56,404 : x
  2. Step 2: Convert to fraction form
    26,012/56,404 = 56,404/x
  3. Step 3: Cross multiply
    26,012x = 56,404 × 56,404
  4. Step 4: Simplify right side
    26,012x = 3,181,411,216
  5. Step 5: Solve for x
    x = 3,181,411,216/26,012
  6. Step 6: Final answer
    x = 122,305.52

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.