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Finding the Third Proportional to 26,740.50 and 41,589.75

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Solution

The third proportional to 26,740.50 and 41,589.75 is: 64,684.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,740.50 : 41,589.75 = 41,589.75 : x
  2. Step 2: Convert to fraction form
    26,740.50/41,589.75 = 41,589.75/x
  3. Step 3: Cross multiply
    26,740.50x = 41,589.75 × 41,589.75
  4. Step 4: Simplify right side
    26,740.50x = 1,729,707,305.06
  5. Step 5: Solve for x
    x = 1,729,707,305.06/26,740.50
  6. Step 6: Final answer
    x = 64,684.93

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.