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Finding the Third Proportional to 11,796 and 18,526

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Solution

The third proportional to 11,796 and 18,526 is: 29,095.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,796 : 18,526 = 18,526 : x
  2. Step 2: Convert to fraction form
    11,796/18,526 = 18,526/x
  3. Step 3: Cross multiply
    11,796x = 18,526 × 18,526
  4. Step 4: Simplify right side
    11,796x = 343,212,676
  5. Step 5: Solve for x
    x = 343,212,676/11,796
  6. Step 6: Final answer
    x = 29,095.68

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.