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Finding the Third Proportional to 20,283.75 and 29,640.94

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Solution

The third proportional to 20,283.75 and 29,640.94 is: 43,314.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,283.75 : 29,640.94 = 29,640.94 : x
  2. Step 2: Convert to fraction form
    20,283.75/29,640.94 = 29,640.94/x
  3. Step 3: Cross multiply
    20,283.75x = 29,640.94 × 29,640.94
  4. Step 4: Simplify right side
    20,283.75x = 878,585,175.88
  5. Step 5: Solve for x
    x = 878,585,175.88/20,283.75
  6. Step 6: Final answer
    x = 43,314.73

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.