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Finding the Third Proportional to 20,267 and 44,222

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Solution

The third proportional to 20,267 and 44,222 is: 96,491.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,267 : 44,222 = 44,222 : x
  2. Step 2: Convert to fraction form
    20,267/44,222 = 44,222/x
  3. Step 3: Cross multiply
    20,267x = 44,222 × 44,222
  4. Step 4: Simplify right side
    20,267x = 1,955,585,284
  5. Step 5: Solve for x
    x = 1,955,585,284/20,267
  6. Step 6: Final answer
    x = 96,491.11

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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.