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Finding the Third Proportional to 8,197.03 and 17,588.39

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Solution

The third proportional to 8,197.03 and 17,588.39 is: 37,739.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,197.03 : 17,588.39 = 17,588.39 : x
  2. Step 2: Convert to fraction form
    8,197.03/17,588.39 = 17,588.39/x
  3. Step 3: Cross multiply
    8,197.03x = 17,588.39 × 17,588.39
  4. Step 4: Simplify right side
    8,197.03x = 309,351,484.78
  5. Step 5: Solve for x
    x = 309,351,484.78/8,197.03
  6. Step 6: Final answer
    x = 37,739.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.