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Finding the Third Proportional to 11,601.75 and 18,095.63

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Solution

The third proportional to 11,601.75 and 18,095.63 is: 28,224.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,601.75 : 18,095.63 = 18,095.63 : x
  2. Step 2: Convert to fraction form
    11,601.75/18,095.63 = 18,095.63/x
  3. Step 3: Cross multiply
    11,601.75x = 18,095.63 × 18,095.63
  4. Step 4: Simplify right side
    11,601.75x = 327,451,644.14
  5. Step 5: Solve for x
    x = 327,451,644.14/11,601.75
  6. Step 6: Final answer
    x = 28,224.33

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.