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Finding the Third Proportional to 19,296 and 27,600

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Solution

The third proportional to 19,296 and 27,600 is: 39,477.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,296 : 27,600 = 27,600 : x
  2. Step 2: Convert to fraction form
    19,296/27,600 = 27,600/x
  3. Step 3: Cross multiply
    19,296x = 27,600 × 27,600
  4. Step 4: Simplify right side
    19,296x = 761,760,000
  5. Step 5: Solve for x
    x = 761,760,000/19,296
  6. Step 6: Final answer
    x = 39,477.61

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.