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Finding the Third Proportional to 36,941 and 78,796

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Solution

The third proportional to 36,941 and 78,796 is: 168,073.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,941 : 78,796 = 78,796 : x
  2. Step 2: Convert to fraction form
    36,941/78,796 = 78,796/x
  3. Step 3: Cross multiply
    36,941x = 78,796 × 78,796
  4. Step 4: Simplify right side
    36,941x = 6,208,809,616
  5. Step 5: Solve for x
    x = 6,208,809,616/36,941
  6. Step 6: Final answer
    x = 168,073.67

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.