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Finding the Third Proportional to 11,310.75 and 17,271

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Solution

The third proportional to 11,310.75 and 17,271 is: 26,372.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,310.75 : 17,271 = 17,271 : x
  2. Step 2: Convert to fraction form
    11,310.75/17,271 = 17,271/x
  3. Step 3: Cross multiply
    11,310.75x = 17,271 × 17,271
  4. Step 4: Simplify right side
    11,310.75x = 298,287,441
  5. Step 5: Solve for x
    x = 298,287,441/11,310.75
  6. Step 6: Final answer
    x = 26,372.03

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.