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Finding the Third Proportional to 8,226 and 17,683

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Solution

The third proportional to 8,226 and 17,683 is: 38,012.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,226 : 17,683 = 17,683 : x
  2. Step 2: Convert to fraction form
    8,226/17,683 = 17,683/x
  3. Step 3: Cross multiply
    8,226x = 17,683 × 17,683
  4. Step 4: Simplify right side
    8,226x = 312,688,489
  5. Step 5: Solve for x
    x = 312,688,489/8,226
  6. Step 6: Final answer
    x = 38,012.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.