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Finding the Third Proportional to 3,546 and 8,283

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Solution

The third proportional to 3,546 and 8,283 is: 19,348.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546 : 8,283 = 8,283 : x
  2. Step 2: Convert to fraction form
    3,546/8,283 = 8,283/x
  3. Step 3: Cross multiply
    3,546x = 8,283 × 8,283
  4. Step 4: Simplify right side
    3,546x = 68,608,089
  5. Step 5: Solve for x
    x = 68,608,089/3,546
  6. Step 6: Final answer
    x = 19,348.02

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.