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Finding the Third Proportional to 17,322.75 and 18,942.75

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Solution

The third proportional to 17,322.75 and 18,942.75 is: 20,714.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,322.75 : 18,942.75 = 18,942.75 : x
  2. Step 2: Convert to fraction form
    17,322.75/18,942.75 = 18,942.75/x
  3. Step 3: Cross multiply
    17,322.75x = 18,942.75 × 18,942.75
  4. Step 4: Simplify right side
    17,322.75x = 358,827,777.56
  5. Step 5: Solve for x
    x = 358,827,777.56/17,322.75
  6. Step 6: Final answer
    x = 20,714.25

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.