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Finding the Third Proportional to 26,192.25 and 40,269.38

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Solution

The third proportional to 26,192.25 and 40,269.38 is: 61,912.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,192.25 : 40,269.38 = 40,269.38 : x
  2. Step 2: Convert to fraction form
    26,192.25/40,269.38 = 40,269.38/x
  3. Step 3: Cross multiply
    26,192.25x = 40,269.38 × 40,269.38
  4. Step 4: Simplify right side
    26,192.25x = 1,621,622,562.89
  5. Step 5: Solve for x
    x = 1,621,622,562.89/26,192.25
  6. Step 6: Final answer
    x = 61,912.30

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.