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Finding the Third Proportional to 14,400 and 33,796

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Solution

The third proportional to 14,400 and 33,796 is: 79,317.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,400 : 33,796 = 33,796 : x
  2. Step 2: Convert to fraction form
    14,400/33,796 = 33,796/x
  3. Step 3: Cross multiply
    14,400x = 33,796 × 33,796
  4. Step 4: Simplify right side
    14,400x = 1,142,169,616
  5. Step 5: Solve for x
    x = 1,142,169,616/14,400
  6. Step 6: Final answer
    x = 79,317.33

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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.