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Finding the Third Proportional to 20,002 and 46,306

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Solution

The third proportional to 20,002 and 46,306 is: 107,201.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,002 : 46,306 = 46,306 : x
  2. Step 2: Convert to fraction form
    20,002/46,306 = 46,306/x
  3. Step 3: Cross multiply
    20,002x = 46,306 × 46,306
  4. Step 4: Simplify right side
    20,002x = 2,144,245,636
  5. Step 5: Solve for x
    x = 2,144,245,636/20,002
  6. Step 6: Final answer
    x = 107,201.56

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.