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Finding the Third Proportional to 12,828 and 19,346

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Solution

The third proportional to 12,828 and 19,346 is: 29,175.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,828 : 19,346 = 19,346 : x
  2. Step 2: Convert to fraction form
    12,828/19,346 = 19,346/x
  3. Step 3: Cross multiply
    12,828x = 19,346 × 19,346
  4. Step 4: Simplify right side
    12,828x = 374,267,716
  5. Step 5: Solve for x
    x = 374,267,716/12,828
  6. Step 6: Final answer
    x = 29,175.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.