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Finding the Third Proportional to 8,309 and 13,212

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Solution

The third proportional to 8,309 and 13,212 is: 21,008.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309 : 13,212 = 13,212 : x
  2. Step 2: Convert to fraction form
    8,309/13,212 = 13,212/x
  3. Step 3: Cross multiply
    8,309x = 13,212 × 13,212
  4. Step 4: Simplify right side
    8,309x = 174,556,944
  5. Step 5: Solve for x
    x = 174,556,944/8,309
  6. Step 6: Final answer
    x = 21,008.18

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.