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Finding the Third Proportional to 8,199.75 and 17,538.75

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Solution

The third proportional to 8,199.75 and 17,538.75 is: 37,514.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,199.75 : 17,538.75 = 17,538.75 : x
  2. Step 2: Convert to fraction form
    8,199.75/17,538.75 = 17,538.75/x
  3. Step 3: Cross multiply
    8,199.75x = 17,538.75 × 17,538.75
  4. Step 4: Simplify right side
    8,199.75x = 307,607,751.56
  5. Step 5: Solve for x
    x = 307,607,751.56/8,199.75
  6. Step 6: Final answer
    x = 37,514.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.