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Finding the Third Proportional to 33,642 and 79,303

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Solution

The third proportional to 33,642 and 79,303 is: 186,937.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,642 : 79,303 = 79,303 : x
  2. Step 2: Convert to fraction form
    33,642/79,303 = 79,303/x
  3. Step 3: Cross multiply
    33,642x = 79,303 × 79,303
  4. Step 4: Simplify right side
    33,642x = 6,288,965,809
  5. Step 5: Solve for x
    x = 6,288,965,809/33,642
  6. Step 6: Final answer
    x = 186,937.93

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.