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Finding the Third Proportional to 25,163.25 and 51,419.25

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Solution

The third proportional to 25,163.25 and 51,419.25 is: 105,071.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,163.25 : 51,419.25 = 51,419.25 : x
  2. Step 2: Convert to fraction form
    25,163.25/51,419.25 = 51,419.25/x
  3. Step 3: Cross multiply
    25,163.25x = 51,419.25 × 51,419.25
  4. Step 4: Simplify right side
    25,163.25x = 2,643,939,270.56
  5. Step 5: Solve for x
    x = 2,643,939,270.56/25,163.25
  6. Step 6: Final answer
    x = 105,071.45

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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.