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Finding the Third Proportional to 20,786 and 31,094

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Solution

The third proportional to 20,786 and 31,094 is: 46,513.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,786 : 31,094 = 31,094 : x
  2. Step 2: Convert to fraction form
    20,786/31,094 = 31,094/x
  3. Step 3: Cross multiply
    20,786x = 31,094 × 31,094
  4. Step 4: Simplify right side
    20,786x = 966,836,836
  5. Step 5: Solve for x
    x = 966,836,836/20,786
  6. Step 6: Final answer
    x = 46,513.85

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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.