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Finding the Third Proportional to 8,197.88 and 17,971.88

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Solution

The third proportional to 8,197.88 and 17,971.88 is: 39,399.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,197.88 : 17,971.88 = 17,971.88 : x
  2. Step 2: Convert to fraction form
    8,197.88/17,971.88 = 17,971.88/x
  3. Step 3: Cross multiply
    8,197.88x = 17,971.88 × 17,971.88
  4. Step 4: Simplify right side
    8,197.88x = 322,988,291.02
  5. Step 5: Solve for x
    x = 322,988,291.02/8,197.88
  6. Step 6: Final answer
    x = 39,399.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.