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Finding the Third Proportional to 23,336 and 49,804

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Solution

The third proportional to 23,336 and 49,804 is: 106,292.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,336 : 49,804 = 49,804 : x
  2. Step 2: Convert to fraction form
    23,336/49,804 = 49,804/x
  3. Step 3: Cross multiply
    23,336x = 49,804 × 49,804
  4. Step 4: Simplify right side
    23,336x = 2,480,438,416
  5. Step 5: Solve for x
    x = 2,480,438,416/23,336
  6. Step 6: Final answer
    x = 106,292.36

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.