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Finding the Third Proportional to 23,816 and 33,447

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Solution

The third proportional to 23,816 and 33,447 is: 46,972.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,816 : 33,447 = 33,447 : x
  2. Step 2: Convert to fraction form
    23,816/33,447 = 33,447/x
  3. Step 3: Cross multiply
    23,816x = 33,447 × 33,447
  4. Step 4: Simplify right side
    23,816x = 1,118,701,809
  5. Step 5: Solve for x
    x = 1,118,701,809/23,816
  6. Step 6: Final answer
    x = 46,972.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.