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Finding the Third Proportional to 8,347 and 17,003.25

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Solution

The third proportional to 8,347 and 17,003.25 is: 34,636.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,347 : 17,003.25 = 17,003.25 : x
  2. Step 2: Convert to fraction form
    8,347/17,003.25 = 17,003.25/x
  3. Step 3: Cross multiply
    8,347x = 17,003.25 × 17,003.25
  4. Step 4: Simplify right side
    8,347x = 289,110,510.56
  5. Step 5: Solve for x
    x = 289,110,510.56/8,347
  6. Step 6: Final answer
    x = 34,636.46

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.