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Finding the Third Proportional to 20,199 and 41,220

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Solution

The third proportional to 20,199 and 41,220 is: 84,117.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,199 : 41,220 = 41,220 : x
  2. Step 2: Convert to fraction form
    20,199/41,220 = 41,220/x
  3. Step 3: Cross multiply
    20,199x = 41,220 × 41,220
  4. Step 4: Simplify right side
    20,199x = 1,699,088,400
  5. Step 5: Solve for x
    x = 1,699,088,400/20,199
  6. Step 6: Final answer
    x = 84,117.45

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.