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Finding the Third Proportional to 8,512 and 12,260

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Solution

The third proportional to 8,512 and 12,260 is: 17,658.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,512 : 12,260 = 12,260 : x
  2. Step 2: Convert to fraction form
    8,512/12,260 = 12,260/x
  3. Step 3: Cross multiply
    8,512x = 12,260 × 12,260
  4. Step 4: Simplify right side
    8,512x = 150,307,600
  5. Step 5: Solve for x
    x = 150,307,600/8,512
  6. Step 6: Final answer
    x = 17,658.32

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.