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Finding the Third Proportional to 20,795 and 45,616

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Solution

The third proportional to 20,795 and 45,616 is: 100,063.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,795 : 45,616 = 45,616 : x
  2. Step 2: Convert to fraction form
    20,795/45,616 = 45,616/x
  3. Step 3: Cross multiply
    20,795x = 45,616 × 45,616
  4. Step 4: Simplify right side
    20,795x = 2,080,819,456
  5. Step 5: Solve for x
    x = 2,080,819,456/20,795
  6. Step 6: Final answer
    x = 100,063.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.