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Finding the Third Proportional to 15,706.25 and 33,872.75

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Solution

The third proportional to 15,706.25 and 33,872.75 is: 73,051.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,706.25 : 33,872.75 = 33,872.75 : x
  2. Step 2: Convert to fraction form
    15,706.25/33,872.75 = 33,872.75/x
  3. Step 3: Cross multiply
    15,706.25x = 33,872.75 × 33,872.75
  4. Step 4: Simplify right side
    15,706.25x = 1,147,363,192.56
  5. Step 5: Solve for x
    x = 1,147,363,192.56/15,706.25
  6. Step 6: Final answer
    x = 73,051.38

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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.