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Finding the Third Proportional to 14,161.13 and 33,073.88

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Solution

The third proportional to 14,161.13 and 33,073.88 is: 77,245.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,161.13 : 33,073.88 = 33,073.88 : x
  2. Step 2: Convert to fraction form
    14,161.13/33,073.88 = 33,073.88/x
  3. Step 3: Cross multiply
    14,161.13x = 33,073.88 × 33,073.88
  4. Step 4: Simplify right side
    14,161.13x = 1,093,881,207.52
  5. Step 5: Solve for x
    x = 1,093,881,207.52/14,161.13
  6. Step 6: Final answer
    x = 77,245.36

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.