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Finding the Third Proportional to 25,481 and 51,649

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Solution

The third proportional to 25,481 and 51,649 is: 104,690.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,481 : 51,649 = 51,649 : x
  2. Step 2: Convert to fraction form
    25,481/51,649 = 51,649/x
  3. Step 3: Cross multiply
    25,481x = 51,649 × 51,649
  4. Step 4: Simplify right side
    25,481x = 2,667,619,201
  5. Step 5: Solve for x
    x = 2,667,619,201/25,481
  6. Step 6: Final answer
    x = 104,690.52

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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.