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Finding the Third Proportional to 11,648 and 24,610

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Solution

The third proportional to 11,648 and 24,610 is: 51,996.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,648 : 24,610 = 24,610 : x
  2. Step 2: Convert to fraction form
    11,648/24,610 = 24,610/x
  3. Step 3: Cross multiply
    11,648x = 24,610 × 24,610
  4. Step 4: Simplify right side
    11,648x = 605,652,100
  5. Step 5: Solve for x
    x = 605,652,100/11,648
  6. Step 6: Final answer
    x = 51,996.23

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.