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Finding the Third Proportional to 11,700 and 17,675

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Solution

The third proportional to 11,700 and 17,675 is: 26,701.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,700 : 17,675 = 17,675 : x
  2. Step 2: Convert to fraction form
    11,700/17,675 = 17,675/x
  3. Step 3: Cross multiply
    11,700x = 17,675 × 17,675
  4. Step 4: Simplify right side
    11,700x = 312,405,625
  5. Step 5: Solve for x
    x = 312,405,625/11,700
  6. Step 6: Final answer
    x = 26,701.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.