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Finding the Third Proportional to 36,807 and 77,994

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Solution

The third proportional to 36,807 and 77,994 is: 165,269.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,807 : 77,994 = 77,994 : x
  2. Step 2: Convert to fraction form
    36,807/77,994 = 77,994/x
  3. Step 3: Cross multiply
    36,807x = 77,994 × 77,994
  4. Step 4: Simplify right side
    36,807x = 6,083,064,036
  5. Step 5: Solve for x
    x = 6,083,064,036/36,807
  6. Step 6: Final answer
    x = 165,269.22

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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.