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Finding the Third Proportional to 20,298 and 44,290

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Solution

The third proportional to 20,298 and 44,290 is: 96,640.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,298 : 44,290 = 44,290 : x
  2. Step 2: Convert to fraction form
    20,298/44,290 = 44,290/x
  3. Step 3: Cross multiply
    20,298x = 44,290 × 44,290
  4. Step 4: Simplify right side
    20,298x = 1,961,604,100
  5. Step 5: Solve for x
    x = 1,961,604,100/20,298
  6. Step 6: Final answer
    x = 96,640.27

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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.