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Finding the Third Proportional to 5,379 and 10,014

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Solution

The third proportional to 5,379 and 10,014 is: 18,642.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,379 : 10,014 = 10,014 : x
  2. Step 2: Convert to fraction form
    5,379/10,014 = 10,014/x
  3. Step 3: Cross multiply
    5,379x = 10,014 × 10,014
  4. Step 4: Simplify right side
    5,379x = 100,280,196
  5. Step 5: Solve for x
    x = 100,280,196/5,379
  6. Step 6: Final answer
    x = 18,642.91

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.