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Finding the Third Proportional to 19,096 and 27,984

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Solution

The third proportional to 19,096 and 27,984 is: 41,008.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,096 : 27,984 = 27,984 : x
  2. Step 2: Convert to fraction form
    19,096/27,984 = 27,984/x
  3. Step 3: Cross multiply
    19,096x = 27,984 × 27,984
  4. Step 4: Simplify right side
    19,096x = 783,104,256
  5. Step 5: Solve for x
    x = 783,104,256/19,096
  6. Step 6: Final answer
    x = 41,008.81

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.