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Finding the Third Proportional to 36,418 and 77,896

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Solution

The third proportional to 36,418 and 77,896 is: 166,615.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,418 : 77,896 = 77,896 : x
  2. Step 2: Convert to fraction form
    36,418/77,896 = 77,896/x
  3. Step 3: Cross multiply
    36,418x = 77,896 × 77,896
  4. Step 4: Simplify right side
    36,418x = 6,067,786,816
  5. Step 5: Solve for x
    x = 6,067,786,816/36,418
  6. Step 6: Final answer
    x = 166,615.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.