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Finding the Third Proportional to 8,525 and 12,794

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Solution

The third proportional to 8,525 and 12,794 is: 19,200.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,525 : 12,794 = 12,794 : x
  2. Step 2: Convert to fraction form
    8,525/12,794 = 12,794/x
  3. Step 3: Cross multiply
    8,525x = 12,794 × 12,794
  4. Step 4: Simplify right side
    8,525x = 163,686,436
  5. Step 5: Solve for x
    x = 163,686,436/8,525
  6. Step 6: Final answer
    x = 19,200.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.