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Finding the Third Proportional to 12,277.25 and 25,071.25

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Solution

The third proportional to 12,277.25 and 25,071.25 is: 51,197.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,277.25 : 25,071.25 = 25,071.25 : x
  2. Step 2: Convert to fraction form
    12,277.25/25,071.25 = 25,071.25/x
  3. Step 3: Cross multiply
    12,277.25x = 25,071.25 × 25,071.25
  4. Step 4: Simplify right side
    12,277.25x = 628,567,576.56
  5. Step 5: Solve for x
    x = 628,567,576.56/12,277.25
  6. Step 6: Final answer
    x = 51,197.75

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.