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Finding the Third Proportional to 23,296 and 33,582

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Solution

The third proportional to 23,296 and 33,582 is: 48,409.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,296 : 33,582 = 33,582 : x
  2. Step 2: Convert to fraction form
    23,296/33,582 = 33,582/x
  3. Step 3: Cross multiply
    23,296x = 33,582 × 33,582
  4. Step 4: Simplify right side
    23,296x = 1,127,750,724
  5. Step 5: Solve for x
    x = 1,127,750,724/23,296
  6. Step 6: Final answer
    x = 48,409.63

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.