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Finding the Third Proportional to 17,217 and 35,538.75

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Solution

The third proportional to 17,217 and 35,538.75 is: 73,357.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,217 : 35,538.75 = 35,538.75 : x
  2. Step 2: Convert to fraction form
    17,217/35,538.75 = 35,538.75/x
  3. Step 3: Cross multiply
    17,217x = 35,538.75 × 35,538.75
  4. Step 4: Simplify right side
    17,217x = 1,263,002,751.56
  5. Step 5: Solve for x
    x = 1,263,002,751.56/17,217
  6. Step 6: Final answer
    x = 73,357.89

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.