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Finding the Third Proportional to 25,172.44 and 54,286.03

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Solution

The third proportional to 25,172.44 and 54,286.03 is: 117,071.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,172.44 : 54,286.03 = 54,286.03 : x
  2. Step 2: Convert to fraction form
    25,172.44/54,286.03 = 54,286.03/x
  3. Step 3: Cross multiply
    25,172.44x = 54,286.03 × 54,286.03
  4. Step 4: Simplify right side
    25,172.44x = 2,946,973,188.88
  5. Step 5: Solve for x
    x = 2,946,973,188.88/25,172.44
  6. Step 6: Final answer
    x = 117,071.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.