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Finding the Third Proportional to 5,212 and 8,390

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Solution

The third proportional to 5,212 and 8,390 is: 13,505.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,212 : 8,390 = 8,390 : x
  2. Step 2: Convert to fraction form
    5,212/8,390 = 8,390/x
  3. Step 3: Cross multiply
    5,212x = 8,390 × 8,390
  4. Step 4: Simplify right side
    5,212x = 70,392,100
  5. Step 5: Solve for x
    x = 70,392,100/5,212
  6. Step 6: Final answer
    x = 13,505.78

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.