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Finding the Third Proportional to 33,316 and 50,316

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Solution

The third proportional to 33,316 and 50,316 is: 75,990.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,316 : 50,316 = 50,316 : x
  2. Step 2: Convert to fraction form
    33,316/50,316 = 50,316/x
  3. Step 3: Cross multiply
    33,316x = 50,316 × 50,316
  4. Step 4: Simplify right side
    33,316x = 2,531,699,856
  5. Step 5: Solve for x
    x = 2,531,699,856/33,316
  6. Step 6: Final answer
    x = 75,990.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.