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Finding the Third Proportional to 31,081 and 46,879.50

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Solution

The third proportional to 31,081 and 46,879.50 is: 70,708.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,081 : 46,879.50 = 46,879.50 : x
  2. Step 2: Convert to fraction form
    31,081/46,879.50 = 46,879.50/x
  3. Step 3: Cross multiply
    31,081x = 46,879.50 × 46,879.50
  4. Step 4: Simplify right side
    31,081x = 2,197,687,520.25
  5. Step 5: Solve for x
    x = 2,197,687,520.25/31,081
  6. Step 6: Final answer
    x = 70,708.39

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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.