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Finding the Third Proportional to 20,818 and 45,878

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Solution

The third proportional to 20,818 and 45,878 is: 101,104.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,818 : 45,878 = 45,878 : x
  2. Step 2: Convert to fraction form
    20,818/45,878 = 45,878/x
  3. Step 3: Cross multiply
    20,818x = 45,878 × 45,878
  4. Step 4: Simplify right side
    20,818x = 2,104,790,884
  5. Step 5: Solve for x
    x = 2,104,790,884/20,818
  6. Step 6: Final answer
    x = 101,104.38

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.