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Finding the Third Proportional to 33,313 and 50,651.63

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Solution

The third proportional to 33,313 and 50,651.63 is: 77,014.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,313 : 50,651.63 = 50,651.63 : x
  2. Step 2: Convert to fraction form
    33,313/50,651.63 = 50,651.63/x
  3. Step 3: Cross multiply
    33,313x = 50,651.63 × 50,651.63
  4. Step 4: Simplify right side
    33,313x = 2,565,587,115.14
  5. Step 5: Solve for x
    x = 2,565,587,115.14/33,313
  6. Step 6: Final answer
    x = 77,014.59

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.