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Finding the Third Proportional to 26,431.50 and 36,243.75

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Solution

The third proportional to 26,431.50 and 36,243.75 is: 49,698.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,431.50 : 36,243.75 = 36,243.75 : x
  2. Step 2: Convert to fraction form
    26,431.50/36,243.75 = 36,243.75/x
  3. Step 3: Cross multiply
    26,431.50x = 36,243.75 × 36,243.75
  4. Step 4: Simplify right side
    26,431.50x = 1,313,609,414.06
  5. Step 5: Solve for x
    x = 1,313,609,414.06/26,431.50
  6. Step 6: Final answer
    x = 49,698.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.