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Finding the Third Proportional to 25,826 and 51,244

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Solution

The third proportional to 25,826 and 51,244 is: 101,678.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,826 : 51,244 = 51,244 : x
  2. Step 2: Convert to fraction form
    25,826/51,244 = 51,244/x
  3. Step 3: Cross multiply
    25,826x = 51,244 × 51,244
  4. Step 4: Simplify right side
    25,826x = 2,625,947,536
  5. Step 5: Solve for x
    x = 2,625,947,536/25,826
  6. Step 6: Final answer
    x = 101,678.45

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.