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Finding the Third Proportional to 20,298 and 44,286

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Solution

The third proportional to 20,298 and 44,286 is: 96,622.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,298 : 44,286 = 44,286 : x
  2. Step 2: Convert to fraction form
    20,298/44,286 = 44,286/x
  3. Step 3: Cross multiply
    20,298x = 44,286 × 44,286
  4. Step 4: Simplify right side
    20,298x = 1,961,249,796
  5. Step 5: Solve for x
    x = 1,961,249,796/20,298
  6. Step 6: Final answer
    x = 96,622.81

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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.