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Finding the Third Proportional to 20,736 and 46,939.50

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Solution

The third proportional to 20,736 and 46,939.50 is: 106,255.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,736 : 46,939.50 = 46,939.50 : x
  2. Step 2: Convert to fraction form
    20,736/46,939.50 = 46,939.50/x
  3. Step 3: Cross multiply
    20,736x = 46,939.50 × 46,939.50
  4. Step 4: Simplify right side
    20,736x = 2,203,316,660.25
  5. Step 5: Solve for x
    x = 2,203,316,660.25/20,736
  6. Step 6: Final answer
    x = 106,255.63

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.