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Finding the Third Proportional to 8,212 and 13,172

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Solution

The third proportional to 8,212 and 13,172 is: 21,127.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,212 : 13,172 = 13,172 : x
  2. Step 2: Convert to fraction form
    8,212/13,172 = 13,172/x
  3. Step 3: Cross multiply
    8,212x = 13,172 × 13,172
  4. Step 4: Simplify right side
    8,212x = 173,501,584
  5. Step 5: Solve for x
    x = 173,501,584/8,212
  6. Step 6: Final answer
    x = 21,127.81

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.