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Finding the Third Proportional to 17,197.50 and 34,947

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Solution

The third proportional to 17,197.50 and 34,947 is: 71,015.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,197.50 : 34,947 = 34,947 : x
  2. Step 2: Convert to fraction form
    17,197.50/34,947 = 34,947/x
  3. Step 3: Cross multiply
    17,197.50x = 34,947 × 34,947
  4. Step 4: Simplify right side
    17,197.50x = 1,221,292,809
  5. Step 5: Solve for x
    x = 1,221,292,809/17,197.50
  6. Step 6: Final answer
    x = 71,015.72

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.