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Finding the Third Proportional to 36,147.19 and 76,668.38

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Solution

The third proportional to 36,147.19 and 76,668.38 is: 162,614.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,147.19 : 76,668.38 = 76,668.38 : x
  2. Step 2: Convert to fraction form
    36,147.19/76,668.38 = 76,668.38/x
  3. Step 3: Cross multiply
    36,147.19x = 76,668.38 × 76,668.38
  4. Step 4: Simplify right side
    36,147.19x = 5,878,039,725.14
  5. Step 5: Solve for x
    x = 5,878,039,725.14/36,147.19
  6. Step 6: Final answer
    x = 162,614.03

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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.