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Finding the Third Proportional to 33,005.44 and 70,986.56

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Solution

The third proportional to 33,005.44 and 70,986.56 is: 152,674.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,005.44 : 70,986.56 = 70,986.56 : x
  2. Step 2: Convert to fraction form
    33,005.44/70,986.56 = 70,986.56/x
  3. Step 3: Cross multiply
    33,005.44x = 70,986.56 × 70,986.56
  4. Step 4: Simplify right side
    33,005.44x = 5,039,092,055.57
  5. Step 5: Solve for x
    x = 5,039,092,055.57/33,005.44
  6. Step 6: Final answer
    x = 152,674.60

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.