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Finding the Third Proportional to 11,795 and 17,207

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Solution

The third proportional to 11,795 and 17,207 is: 25,102.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,795 : 17,207 = 17,207 : x
  2. Step 2: Convert to fraction form
    11,795/17,207 = 17,207/x
  3. Step 3: Cross multiply
    11,795x = 17,207 × 17,207
  4. Step 4: Simplify right side
    11,795x = 296,080,849
  5. Step 5: Solve for x
    x = 296,080,849/11,795
  6. Step 6: Final answer
    x = 25,102.23

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.