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Finding the Third Proportional to 26,355 and 56,739.75

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Solution

The third proportional to 26,355 and 56,739.75 is: 122,155.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,355 : 56,739.75 = 56,739.75 : x
  2. Step 2: Convert to fraction form
    26,355/56,739.75 = 56,739.75/x
  3. Step 3: Cross multiply
    26,355x = 56,739.75 × 56,739.75
  4. Step 4: Simplify right side
    26,355x = 3,219,399,230.06
  5. Step 5: Solve for x
    x = 3,219,399,230.06/26,355
  6. Step 6: Final answer
    x = 122,155.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.