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Finding the Third Proportional to 15,705.94 and 33,872.16

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Solution

The third proportional to 15,705.94 and 33,872.16 is: 73,050.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,705.94 : 33,872.16 = 33,872.16 : x
  2. Step 2: Convert to fraction form
    15,705.94/33,872.16 = 33,872.16/x
  3. Step 3: Cross multiply
    15,705.94x = 33,872.16 × 33,872.16
  4. Step 4: Simplify right side
    15,705.94x = 1,147,322,969.02
  5. Step 5: Solve for x
    x = 1,147,322,969.02/15,705.94
  6. Step 6: Final answer
    x = 73,050.27

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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.