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Finding the Third Proportional to 36,473.63 and 79,172.44

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Solution

The third proportional to 36,473.63 and 79,172.44 is: 171,857.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,473.63 : 79,172.44 = 79,172.44 : x
  2. Step 2: Convert to fraction form
    36,473.63/79,172.44 = 79,172.44/x
  3. Step 3: Cross multiply
    36,473.63x = 79,172.44 × 79,172.44
  4. Step 4: Simplify right side
    36,473.63x = 6,268,274,859.69
  5. Step 5: Solve for x
    x = 6,268,274,859.69/36,473.63
  6. Step 6: Final answer
    x = 171,857.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.