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Finding the Third Proportional to 21,233 and 44,203

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Solution

The third proportional to 21,233 and 44,203 is: 92,022.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,233 : 44,203 = 44,203 : x
  2. Step 2: Convert to fraction form
    21,233/44,203 = 44,203/x
  3. Step 3: Cross multiply
    21,233x = 44,203 × 44,203
  4. Step 4: Simplify right side
    21,233x = 1,953,905,209
  5. Step 5: Solve for x
    x = 1,953,905,209/21,233
  6. Step 6: Final answer
    x = 92,022.10

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.