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Finding the Third Proportional to 12,832 and 17,240

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Solution

The third proportional to 12,832 and 17,240 is: 23,162.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,832 : 17,240 = 17,240 : x
  2. Step 2: Convert to fraction form
    12,832/17,240 = 17,240/x
  3. Step 3: Cross multiply
    12,832x = 17,240 × 17,240
  4. Step 4: Simplify right side
    12,832x = 297,217,600
  5. Step 5: Solve for x
    x = 297,217,600/12,832
  6. Step 6: Final answer
    x = 23,162.22

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.