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Finding the Third Proportional to 17,549 and 35,917

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Solution

The third proportional to 17,549 and 35,917 is: 73,510.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,549 : 35,917 = 35,917 : x
  2. Step 2: Convert to fraction form
    17,549/35,917 = 35,917/x
  3. Step 3: Cross multiply
    17,549x = 35,917 × 35,917
  4. Step 4: Simplify right side
    17,549x = 1,290,030,889
  5. Step 5: Solve for x
    x = 1,290,030,889/17,549
  6. Step 6: Final answer
    x = 73,510.22

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.