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Finding the Third Proportional to 11,519.50 and 17,323.25

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Solution

The third proportional to 11,519.50 and 17,323.25 is: 26,051.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,519.50 : 17,323.25 = 17,323.25 : x
  2. Step 2: Convert to fraction form
    11,519.50/17,323.25 = 17,323.25/x
  3. Step 3: Cross multiply
    11,519.50x = 17,323.25 × 17,323.25
  4. Step 4: Simplify right side
    11,519.50x = 300,094,990.56
  5. Step 5: Solve for x
    x = 300,094,990.56/11,519.50
  6. Step 6: Final answer
    x = 26,051.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.