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Finding the Third Proportional to 20,596 and 44,990

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Solution

The third proportional to 20,596 and 44,990 is: 98,276.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,596 : 44,990 = 44,990 : x
  2. Step 2: Convert to fraction form
    20,596/44,990 = 44,990/x
  3. Step 3: Cross multiply
    20,596x = 44,990 × 44,990
  4. Step 4: Simplify right side
    20,596x = 2,024,100,100
  5. Step 5: Solve for x
    x = 2,024,100,100/20,596
  6. Step 6: Final answer
    x = 98,276.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.