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Finding the Third Proportional to 36,774 and 79,378.50

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Solution

The third proportional to 36,774 and 79,378.50 is: 171,342.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,774 : 79,378.50 = 79,378.50 : x
  2. Step 2: Convert to fraction form
    36,774/79,378.50 = 79,378.50/x
  3. Step 3: Cross multiply
    36,774x = 79,378.50 × 79,378.50
  4. Step 4: Simplify right side
    36,774x = 6,300,946,262.25
  5. Step 5: Solve for x
    x = 6,300,946,262.25/36,774
  6. Step 6: Final answer
    x = 171,342.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.