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Finding the Third Proportional to 13,500 and 19,282

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Solution

The third proportional to 13,500 and 19,282 is: 27,540.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,500 : 19,282 = 19,282 : x
  2. Step 2: Convert to fraction form
    13,500/19,282 = 19,282/x
  3. Step 3: Cross multiply
    13,500x = 19,282 × 19,282
  4. Step 4: Simplify right side
    13,500x = 371,795,524
  5. Step 5: Solve for x
    x = 371,795,524/13,500
  6. Step 6: Final answer
    x = 27,540.41

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.