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Finding the Third Proportional to 13,544 and 20,460

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Solution

The third proportional to 13,544 and 20,460 is: 30,907.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,544 : 20,460 = 20,460 : x
  2. Step 2: Convert to fraction form
    13,544/20,460 = 20,460/x
  3. Step 3: Cross multiply
    13,544x = 20,460 × 20,460
  4. Step 4: Simplify right side
    13,544x = 418,611,600
  5. Step 5: Solve for x
    x = 418,611,600/13,544
  6. Step 6: Final answer
    x = 30,907.53

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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.