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Finding the Third Proportional to 26,016.75 and 56,407.56

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Solution

The third proportional to 26,016.75 and 56,407.56 is: 122,298.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,016.75 : 56,407.56 = 56,407.56 : x
  2. Step 2: Convert to fraction form
    26,016.75/56,407.56 = 56,407.56/x
  3. Step 3: Cross multiply
    26,016.75x = 56,407.56 × 56,407.56
  4. Step 4: Simplify right side
    26,016.75x = 3,181,813,107.19
  5. Step 5: Solve for x
    x = 3,181,813,107.19/26,016.75
  6. Step 6: Final answer
    x = 122,298.64

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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.