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Finding the Third Proportional to 33,017.63 and 71,419.22

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Solution

The third proportional to 33,017.63 and 71,419.22 is: 154,484.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,017.63 : 71,419.22 = 71,419.22 : x
  2. Step 2: Convert to fraction form
    33,017.63/71,419.22 = 71,419.22/x
  3. Step 3: Cross multiply
    33,017.63x = 71,419.22 × 71,419.22
  4. Step 4: Simplify right side
    33,017.63x = 5,100,704,806.86
  5. Step 5: Solve for x
    x = 5,100,704,806.86/33,017.63
  6. Step 6: Final answer
    x = 154,484.30

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.