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Finding the Third Proportional to 50,687.44 and 73,013.06

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Solution

The third proportional to 50,687.44 and 73,013.06 is: 105,172.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,687.44 : 73,013.06 = 73,013.06 : x
  2. Step 2: Convert to fraction form
    50,687.44/73,013.06 = 73,013.06/x
  3. Step 3: Cross multiply
    50,687.44x = 73,013.06 × 73,013.06
  4. Step 4: Simplify right side
    50,687.44x = 5,330,907,295.63
  5. Step 5: Solve for x
    x = 5,330,907,295.63/50,687.44
  6. Step 6: Final answer
    x = 105,172.16

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.