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Finding the Third Proportional to 23,804 and 49,048

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Solution

The third proportional to 23,804 and 49,048 is: 101,063.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,804 : 49,048 = 49,048 : x
  2. Step 2: Convert to fraction form
    23,804/49,048 = 49,048/x
  3. Step 3: Cross multiply
    23,804x = 49,048 × 49,048
  4. Step 4: Simplify right side
    23,804x = 2,405,706,304
  5. Step 5: Solve for x
    x = 2,405,706,304/23,804
  6. Step 6: Final answer
    x = 101,063.11

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.