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Finding the Third Proportional to 8,097 and 17,718

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Solution

The third proportional to 8,097 and 17,718 is: 38,770.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,097 : 17,718 = 17,718 : x
  2. Step 2: Convert to fraction form
    8,097/17,718 = 17,718/x
  3. Step 3: Cross multiply
    8,097x = 17,718 × 17,718
  4. Step 4: Simplify right side
    8,097x = 313,927,524
  5. Step 5: Solve for x
    x = 313,927,524/8,097
  6. Step 6: Final answer
    x = 38,770.84

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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.