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Finding the Third Proportional to 36,795 and 77,883

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Solution

The third proportional to 36,795 and 77,883 is: 164,852.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,795 : 77,883 = 77,883 : x
  2. Step 2: Convert to fraction form
    36,795/77,883 = 77,883/x
  3. Step 3: Cross multiply
    36,795x = 77,883 × 77,883
  4. Step 4: Simplify right side
    36,795x = 6,065,761,689
  5. Step 5: Solve for x
    x = 6,065,761,689/36,795
  6. Step 6: Final answer
    x = 164,852.88

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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.