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Finding the Third Proportional to 14,104.13 and 33,415.03

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Solution

The third proportional to 14,104.13 and 33,415.03 is: 79,165.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,104.13 : 33,415.03 = 33,415.03 : x
  2. Step 2: Convert to fraction form
    14,104.13/33,415.03 = 33,415.03/x
  3. Step 3: Cross multiply
    14,104.13x = 33,415.03 × 33,415.03
  4. Step 4: Simplify right side
    14,104.13x = 1,116,564,313.44
  5. Step 5: Solve for x
    x = 1,116,564,313.44/14,104.13
  6. Step 6: Final answer
    x = 79,165.80

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Why These Related Problems?

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