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Finding the Third Proportional to 15,706.97 and 33,874.31

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Solution

The third proportional to 15,706.97 and 33,874.31 is: 73,054.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,706.97 : 33,874.31 = 33,874.31 : x
  2. Step 2: Convert to fraction form
    15,706.97/33,874.31 = 33,874.31/x
  3. Step 3: Cross multiply
    15,706.97x = 33,874.31 × 33,874.31
  4. Step 4: Simplify right side
    15,706.97x = 1,147,469,047.35
  5. Step 5: Solve for x
    x = 1,147,469,047.35/15,706.97
  6. Step 6: Final answer
    x = 73,054.77

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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.