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Finding the Third Proportional to 20,209 and 44,089

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Solution

The third proportional to 20,209 and 44,089 is: 96,186.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,209 : 44,089 = 44,089 : x
  2. Step 2: Convert to fraction form
    20,209/44,089 = 44,089/x
  3. Step 3: Cross multiply
    20,209x = 44,089 × 44,089
  4. Step 4: Simplify right side
    20,209x = 1,943,839,921
  5. Step 5: Solve for x
    x = 1,943,839,921/20,209
  6. Step 6: Final answer
    x = 96,186.84

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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.