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Finding the Third Proportional to 31,739.25 and 46,626.75

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Solution

The third proportional to 31,739.25 and 46,626.75 is: 68,497.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,739.25 : 46,626.75 = 46,626.75 : x
  2. Step 2: Convert to fraction form
    31,739.25/46,626.75 = 46,626.75/x
  3. Step 3: Cross multiply
    31,739.25x = 46,626.75 × 46,626.75
  4. Step 4: Simplify right side
    31,739.25x = 2,174,053,815.56
  5. Step 5: Solve for x
    x = 2,174,053,815.56/31,739.25
  6. Step 6: Final answer
    x = 68,497.33

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.