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Finding the Third Proportional to 26,198.81 and 37,035.19

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Solution

The third proportional to 26,198.81 and 37,035.19 is: 52,353.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,198.81 : 37,035.19 = 37,035.19 : x
  2. Step 2: Convert to fraction form
    26,198.81/37,035.19 = 37,035.19/x
  3. Step 3: Cross multiply
    26,198.81x = 37,035.19 × 37,035.19
  4. Step 4: Simplify right side
    26,198.81x = 1,371,605,113.16
  5. Step 5: Solve for x
    x = 1,371,605,113.16/26,198.81
  6. Step 6: Final answer
    x = 52,353.71

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.