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Finding the Third Proportional to 23,039 and 49,619

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Solution

The third proportional to 23,039 and 49,619 is: 106,864.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,039 : 49,619 = 49,619 : x
  2. Step 2: Convert to fraction form
    23,039/49,619 = 49,619/x
  3. Step 3: Cross multiply
    23,039x = 49,619 × 49,619
  4. Step 4: Simplify right side
    23,039x = 2,462,045,161
  5. Step 5: Solve for x
    x = 2,462,045,161/23,039
  6. Step 6: Final answer
    x = 106,864.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.