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Finding the Third Proportional to 25,452 and 51,596

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Solution

The third proportional to 25,452 and 51,596 is: 104,594.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,452 : 51,596 = 51,596 : x
  2. Step 2: Convert to fraction form
    25,452/51,596 = 51,596/x
  3. Step 3: Cross multiply
    25,452x = 51,596 × 51,596
  4. Step 4: Simplify right side
    25,452x = 2,662,147,216
  5. Step 5: Solve for x
    x = 2,662,147,216/25,452
  6. Step 6: Final answer
    x = 104,594.81

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.