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Finding the Third Proportional to 26,400.56 and 54,985.31

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Solution

The third proportional to 26,400.56 and 54,985.31 is: 114,519.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,400.56 : 54,985.31 = 54,985.31 : x
  2. Step 2: Convert to fraction form
    26,400.56/54,985.31 = 54,985.31/x
  3. Step 3: Cross multiply
    26,400.56x = 54,985.31 × 54,985.31
  4. Step 4: Simplify right side
    26,400.56x = 3,023,384,590.72
  5. Step 5: Solve for x
    x = 3,023,384,590.72/26,400.56
  6. Step 6: Final answer
    x = 114,519.70

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.