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Finding the Third Proportional to 17,225 and 35,180.50

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Solution

The third proportional to 17,225 and 35,180.50 is: 71,852.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,225 : 35,180.50 = 35,180.50 : x
  2. Step 2: Convert to fraction form
    17,225/35,180.50 = 35,180.50/x
  3. Step 3: Cross multiply
    17,225x = 35,180.50 × 35,180.50
  4. Step 4: Simplify right side
    17,225x = 1,237,667,580.25
  5. Step 5: Solve for x
    x = 1,237,667,580.25/17,225
  6. Step 6: Final answer
    x = 71,852.98

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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.