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Finding the Third Proportional to 13,104 and 19,152

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Solution

The third proportional to 13,104 and 19,152 is: 27,991.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,104 : 19,152 = 19,152 : x
  2. Step 2: Convert to fraction form
    13,104/19,152 = 19,152/x
  3. Step 3: Cross multiply
    13,104x = 19,152 × 19,152
  4. Step 4: Simplify right side
    13,104x = 366,799,104
  5. Step 5: Solve for x
    x = 366,799,104/13,104
  6. Step 6: Final answer
    x = 27,991.38

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.