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Finding the Third Proportional to 18,208 and 35,984

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Solution

The third proportional to 18,208 and 35,984 is: 71,114.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,208 : 35,984 = 35,984 : x
  2. Step 2: Convert to fraction form
    18,208/35,984 = 35,984/x
  3. Step 3: Cross multiply
    18,208x = 35,984 × 35,984
  4. Step 4: Simplify right side
    18,208x = 1,294,848,256
  5. Step 5: Solve for x
    x = 1,294,848,256/18,208
  6. Step 6: Final answer
    x = 71,114.25

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.