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Finding the Third Proportional to 5,824 and 12,544

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Solution

The third proportional to 5,824 and 12,544 is: 27,017.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,824 : 12,544 = 12,544 : x
  2. Step 2: Convert to fraction form
    5,824/12,544 = 12,544/x
  3. Step 3: Cross multiply
    5,824x = 12,544 × 12,544
  4. Step 4: Simplify right side
    5,824x = 157,351,936
  5. Step 5: Solve for x
    x = 157,351,936/5,824
  6. Step 6: Final answer
    x = 27,017.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.