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Finding the Third Proportional to 36,271 and 76,896

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Solution

The third proportional to 36,271 and 76,896 is: 163,022.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,271 : 76,896 = 76,896 : x
  2. Step 2: Convert to fraction form
    36,271/76,896 = 76,896/x
  3. Step 3: Cross multiply
    36,271x = 76,896 × 76,896
  4. Step 4: Simplify right side
    36,271x = 5,912,994,816
  5. Step 5: Solve for x
    x = 5,912,994,816/36,271
  6. Step 6: Final answer
    x = 163,022.66

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.