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Finding the Third Proportional to 40,843 and 62,465.75

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Solution

The third proportional to 40,843 and 62,465.75 is: 95,535.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,843 : 62,465.75 = 62,465.75 : x
  2. Step 2: Convert to fraction form
    40,843/62,465.75 = 62,465.75/x
  3. Step 3: Cross multiply
    40,843x = 62,465.75 × 62,465.75
  4. Step 4: Simplify right side
    40,843x = 3,901,969,923.06
  5. Step 5: Solve for x
    x = 3,901,969,923.06/40,843
  6. Step 6: Final answer
    x = 95,535.83

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.