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Finding the Third Proportional to 33,427.69 and 72,852.75

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Solution

The third proportional to 33,427.69 and 72,852.75 is: 158,776.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,427.69 : 72,852.75 = 72,852.75 : x
  2. Step 2: Convert to fraction form
    33,427.69/72,852.75 = 72,852.75/x
  3. Step 3: Cross multiply
    33,427.69x = 72,852.75 × 72,852.75
  4. Step 4: Simplify right side
    33,427.69x = 5,307,523,182.56
  5. Step 5: Solve for x
    x = 5,307,523,182.56/33,427.69
  6. Step 6: Final answer
    x = 158,776.26

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.