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Finding the Third Proportional to 33,307.61 and 43,213.18

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Solution

The third proportional to 33,307.61 and 43,213.18 is: 56,064.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,307.61 : 43,213.18 = 43,213.18 : x
  2. Step 2: Convert to fraction form
    33,307.61/43,213.18 = 43,213.18/x
  3. Step 3: Cross multiply
    33,307.61x = 43,213.18 × 43,213.18
  4. Step 4: Simplify right side
    33,307.61x = 1,867,379,236.31
  5. Step 5: Solve for x
    x = 1,867,379,236.31/33,307.61
  6. Step 6: Final answer
    x = 56,064.64

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.