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Finding the Third Proportional to 26,385.75 and 55,505.25

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Solution

The third proportional to 26,385.75 and 55,505.25 is: 116,761.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,385.75 : 55,505.25 = 55,505.25 : x
  2. Step 2: Convert to fraction form
    26,385.75/55,505.25 = 55,505.25/x
  3. Step 3: Cross multiply
    26,385.75x = 55,505.25 × 55,505.25
  4. Step 4: Simplify right side
    26,385.75x = 3,080,832,777.56
  5. Step 5: Solve for x
    x = 3,080,832,777.56/26,385.75
  6. Step 6: Final answer
    x = 116,761.24

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.