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Finding the Third Proportional to 36,328 and 74,979

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Solution

The third proportional to 36,328 and 74,979 is: 154,752.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,328 : 74,979 = 74,979 : x
  2. Step 2: Convert to fraction form
    36,328/74,979 = 74,979/x
  3. Step 3: Cross multiply
    36,328x = 74,979 × 74,979
  4. Step 4: Simplify right side
    36,328x = 5,621,850,441
  5. Step 5: Solve for x
    x = 5,621,850,441/36,328
  6. Step 6: Final answer
    x = 154,752.54

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.