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Finding the Third Proportional to 26,949 and 40,800.75

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Solution

The third proportional to 26,949 and 40,800.75 is: 61,772.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,949 : 40,800.75 = 40,800.75 : x
  2. Step 2: Convert to fraction form
    26,949/40,800.75 = 40,800.75/x
  3. Step 3: Cross multiply
    26,949x = 40,800.75 × 40,800.75
  4. Step 4: Simplify right side
    26,949x = 1,664,701,200.56
  5. Step 5: Solve for x
    x = 1,664,701,200.56/26,949
  6. Step 6: Final answer
    x = 61,772.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.