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Finding the Third Proportional to 6,811 and 10,525

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Solution

The third proportional to 6,811 and 10,525 is: 16,264.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,811 : 10,525 = 10,525 : x
  2. Step 2: Convert to fraction form
    6,811/10,525 = 10,525/x
  3. Step 3: Cross multiply
    6,811x = 10,525 × 10,525
  4. Step 4: Simplify right side
    6,811x = 110,775,625
  5. Step 5: Solve for x
    x = 110,775,625/6,811
  6. Step 6: Final answer
    x = 16,264.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.