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Finding the Third Proportional to 10,717 and 23,167

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Solution

The third proportional to 10,717 and 23,167 is: 50,080.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,717 : 23,167 = 23,167 : x
  2. Step 2: Convert to fraction form
    10,717/23,167 = 23,167/x
  3. Step 3: Cross multiply
    10,717x = 23,167 × 23,167
  4. Step 4: Simplify right side
    10,717x = 536,709,889
  5. Step 5: Solve for x
    x = 536,709,889/10,717
  6. Step 6: Final answer
    x = 50,080.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.