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Finding the Third Proportional to 11,823 and 19,352

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Solution

The third proportional to 11,823 and 19,352 is: 31,675.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,823 : 19,352 = 19,352 : x
  2. Step 2: Convert to fraction form
    11,823/19,352 = 19,352/x
  3. Step 3: Cross multiply
    11,823x = 19,352 × 19,352
  4. Step 4: Simplify right side
    11,823x = 374,499,904
  5. Step 5: Solve for x
    x = 374,499,904/11,823
  6. Step 6: Final answer
    x = 31,675.54

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.