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Finding the Third Proportional to 5,219 and 10,679

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Solution

The third proportional to 5,219 and 10,679 is: 21,851.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,219 : 10,679 = 10,679 : x
  2. Step 2: Convert to fraction form
    5,219/10,679 = 10,679/x
  3. Step 3: Cross multiply
    5,219x = 10,679 × 10,679
  4. Step 4: Simplify right side
    5,219x = 114,041,041
  5. Step 5: Solve for x
    x = 114,041,041/5,219
  6. Step 6: Final answer
    x = 21,851.13

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.