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Finding the Third Proportional to 36,074.50 and 77,333

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Solution

The third proportional to 36,074.50 and 77,333 is: 165,778.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,074.50 : 77,333 = 77,333 : x
  2. Step 2: Convert to fraction form
    36,074.50/77,333 = 77,333/x
  3. Step 3: Cross multiply
    36,074.50x = 77,333 × 77,333
  4. Step 4: Simplify right side
    36,074.50x = 5,980,392,889
  5. Step 5: Solve for x
    x = 5,980,392,889/36,074.50
  6. Step 6: Final answer
    x = 165,778.95

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