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Finding the Third Proportional to 3,224 and 5,984

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Solution

The third proportional to 3,224 and 5,984 is: 11,106.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,224 : 5,984 = 5,984 : x
  2. Step 2: Convert to fraction form
    3,224/5,984 = 5,984/x
  3. Step 3: Cross multiply
    3,224x = 5,984 × 5,984
  4. Step 4: Simplify right side
    3,224x = 35,808,256
  5. Step 5: Solve for x
    x = 35,808,256/3,224
  6. Step 6: Final answer
    x = 11,106.78

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.