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Finding the Third Proportional to 17,283 and 35,295

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Solution

The third proportional to 17,283 and 35,295 is: 72,078.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,283 : 35,295 = 35,295 : x
  2. Step 2: Convert to fraction form
    17,283/35,295 = 35,295/x
  3. Step 3: Cross multiply
    17,283x = 35,295 × 35,295
  4. Step 4: Simplify right side
    17,283x = 1,245,737,025
  5. Step 5: Solve for x
    x = 1,245,737,025/17,283
  6. Step 6: Final answer
    x = 72,078.75

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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.