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Finding the Third Proportional to 36,884.25 and 79,142.25

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Solution

The third proportional to 36,884.25 and 79,142.25 is: 169,814.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,884.25 : 79,142.25 = 79,142.25 : x
  2. Step 2: Convert to fraction form
    36,884.25/79,142.25 = 79,142.25/x
  3. Step 3: Cross multiply
    36,884.25x = 79,142.25 × 79,142.25
  4. Step 4: Simplify right side
    36,884.25x = 6,263,495,735.06
  5. Step 5: Solve for x
    x = 6,263,495,735.06/36,884.25
  6. Step 6: Final answer
    x = 169,814.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.