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Finding the Third Proportional to 5,224 and 10,652

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Solution

The third proportional to 5,224 and 10,652 is: 21,719.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,224 : 10,652 = 10,652 : x
  2. Step 2: Convert to fraction form
    5,224/10,652 = 10,652/x
  3. Step 3: Cross multiply
    5,224x = 10,652 × 10,652
  4. Step 4: Simplify right side
    5,224x = 113,465,104
  5. Step 5: Solve for x
    x = 113,465,104/5,224
  6. Step 6: Final answer
    x = 21,719.97

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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.