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Finding the Third Proportional to 20,751.94 and 31,143.19

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Solution

The third proportional to 20,751.94 and 31,143.19 is: 46,737.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,751.94 : 31,143.19 = 31,143.19 : x
  2. Step 2: Convert to fraction form
    20,751.94/31,143.19 = 31,143.19/x
  3. Step 3: Cross multiply
    20,751.94x = 31,143.19 × 31,143.19
  4. Step 4: Simplify right side
    20,751.94x = 969,898,127.66
  5. Step 5: Solve for x
    x = 969,898,127.66/20,751.94
  6. Step 6: Final answer
    x = 46,737.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.