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Finding the Third Proportional to 36,768 and 79,356

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Solution

The third proportional to 36,768 and 79,356 is: 171,273.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,768 : 79,356 = 79,356 : x
  2. Step 2: Convert to fraction form
    36,768/79,356 = 79,356/x
  3. Step 3: Cross multiply
    36,768x = 79,356 × 79,356
  4. Step 4: Simplify right side
    36,768x = 6,297,374,736
  5. Step 5: Solve for x
    x = 6,297,374,736/36,768
  6. Step 6: Final answer
    x = 171,273.25

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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.