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Finding the Third Proportional to 11,934 and 17,526

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Solution

The third proportional to 11,934 and 17,526 is: 25,738.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,934 : 17,526 = 17,526 : x
  2. Step 2: Convert to fraction form
    11,934/17,526 = 17,526/x
  3. Step 3: Cross multiply
    11,934x = 17,526 × 17,526
  4. Step 4: Simplify right side
    11,934x = 307,160,676
  5. Step 5: Solve for x
    x = 307,160,676/11,934
  6. Step 6: Final answer
    x = 25,738.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.