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Finding the Third Proportional to 33,670.69 and 51,531.19

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Solution

The third proportional to 33,670.69 and 51,531.19 is: 78,865.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,670.69 : 51,531.19 = 51,531.19 : x
  2. Step 2: Convert to fraction form
    33,670.69/51,531.19 = 51,531.19/x
  3. Step 3: Cross multiply
    33,670.69x = 51,531.19 × 51,531.19
  4. Step 4: Simplify right side
    33,670.69x = 2,655,463,285.16
  5. Step 5: Solve for x
    x = 2,655,463,285.16/33,670.69
  6. Step 6: Final answer
    x = 78,865.73

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.