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Finding the Third Proportional to 20,780 and 46,168

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Solution

The third proportional to 20,780 and 46,168 is: 102,573.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,780 : 46,168 = 46,168 : x
  2. Step 2: Convert to fraction form
    20,780/46,168 = 46,168/x
  3. Step 3: Cross multiply
    20,780x = 46,168 × 46,168
  4. Step 4: Simplify right side
    20,780x = 2,131,484,224
  5. Step 5: Solve for x
    x = 2,131,484,224/20,780
  6. Step 6: Final answer
    x = 102,573.83

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.