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Finding the Third Proportional to 20,224 and 44,424

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Solution

The third proportional to 20,224 and 44,424 is: 97,581.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,224 : 44,424 = 44,424 : x
  2. Step 2: Convert to fraction form
    20,224/44,424 = 44,424/x
  3. Step 3: Cross multiply
    20,224x = 44,424 × 44,424
  4. Step 4: Simplify right side
    20,224x = 1,973,491,776
  5. Step 5: Solve for x
    x = 1,973,491,776/20,224
  6. Step 6: Final answer
    x = 97,581.67

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.