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Finding the Third Proportional to 21,224 and 44,771

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Solution

The third proportional to 21,224 and 44,771 is: 94,442.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,224 : 44,771 = 44,771 : x
  2. Step 2: Convert to fraction form
    21,224/44,771 = 44,771/x
  3. Step 3: Cross multiply
    21,224x = 44,771 × 44,771
  4. Step 4: Simplify right side
    21,224x = 2,004,442,441
  5. Step 5: Solve for x
    x = 2,004,442,441/21,224
  6. Step 6: Final answer
    x = 94,442.26

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.