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Finding the Third Proportional to 26,137.69 and 54,796.50

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Solution

The third proportional to 26,137.69 and 54,796.50 is: 114,878.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,137.69 : 54,796.50 = 54,796.50 : x
  2. Step 2: Convert to fraction form
    26,137.69/54,796.50 = 54,796.50/x
  3. Step 3: Cross multiply
    26,137.69x = 54,796.50 × 54,796.50
  4. Step 4: Simplify right side
    26,137.69x = 3,002,656,412.25
  5. Step 5: Solve for x
    x = 3,002,656,412.25/26,137.69
  6. Step 6: Final answer
    x = 114,878.43

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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.