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Finding the Third Proportional to 36,738 and 76,668.75

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Solution

The third proportional to 36,738 and 76,668.75 is: 160,000.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,738 : 76,668.75 = 76,668.75 : x
  2. Step 2: Convert to fraction form
    36,738/76,668.75 = 76,668.75/x
  3. Step 3: Cross multiply
    36,738x = 76,668.75 × 76,668.75
  4. Step 4: Simplify right side
    36,738x = 5,878,097,226.56
  5. Step 5: Solve for x
    x = 5,878,097,226.56/36,738
  6. Step 6: Final answer
    x = 160,000.47

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.