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Finding the Third Proportional to 11,532 and 19,104

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Solution

The third proportional to 11,532 and 19,104 is: 31,647.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,532 : 19,104 = 19,104 : x
  2. Step 2: Convert to fraction form
    11,532/19,104 = 19,104/x
  3. Step 3: Cross multiply
    11,532x = 19,104 × 19,104
  4. Step 4: Simplify right side
    11,532x = 364,962,816
  5. Step 5: Solve for x
    x = 364,962,816/11,532
  6. Step 6: Final answer
    x = 31,647.83

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.