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Finding the Third Proportional to 33,983 and 79,955

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Solution

The third proportional to 33,983 and 79,955 is: 188,117.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,983 : 79,955 = 79,955 : x
  2. Step 2: Convert to fraction form
    33,983/79,955 = 79,955/x
  3. Step 3: Cross multiply
    33,983x = 79,955 × 79,955
  4. Step 4: Simplify right side
    33,983x = 6,392,802,025
  5. Step 5: Solve for x
    x = 6,392,802,025/33,983
  6. Step 6: Final answer
    x = 188,117.65

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.