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Finding the Third Proportional to 14,296 and 33,411

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Solution

The third proportional to 14,296 and 33,411 is: 78,084.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,296 : 33,411 = 33,411 : x
  2. Step 2: Convert to fraction form
    14,296/33,411 = 33,411/x
  3. Step 3: Cross multiply
    14,296x = 33,411 × 33,411
  4. Step 4: Simplify right side
    14,296x = 1,116,294,921
  5. Step 5: Solve for x
    x = 1,116,294,921/14,296
  6. Step 6: Final answer
    x = 78,084.42

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.