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Finding the Third Proportional to 36,662 and 75,268

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Solution

The third proportional to 36,662 and 75,268 is: 154,527.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,662 : 75,268 = 75,268 : x
  2. Step 2: Convert to fraction form
    36,662/75,268 = 75,268/x
  3. Step 3: Cross multiply
    36,662x = 75,268 × 75,268
  4. Step 4: Simplify right side
    36,662x = 5,665,271,824
  5. Step 5: Solve for x
    x = 5,665,271,824/36,662
  6. Step 6: Final answer
    x = 154,527.08

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.