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Finding the Third Proportional to 14,104.50 and 33,416.25

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Solution

The third proportional to 14,104.50 and 33,416.25 is: 79,169.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,104.50 : 33,416.25 = 33,416.25 : x
  2. Step 2: Convert to fraction form
    14,104.50/33,416.25 = 33,416.25/x
  3. Step 3: Cross multiply
    14,104.50x = 33,416.25 × 33,416.25
  4. Step 4: Simplify right side
    14,104.50x = 1,116,645,764.06
  5. Step 5: Solve for x
    x = 1,116,645,764.06/14,104.50
  6. Step 6: Final answer
    x = 79,169.47

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These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.