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Finding the Third Proportional to 8,202.75 and 17,572.50

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Solution

The third proportional to 8,202.75 and 17,572.50 is: 37,645.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202.75 : 17,572.50 = 17,572.50 : x
  2. Step 2: Convert to fraction form
    8,202.75/17,572.50 = 17,572.50/x
  3. Step 3: Cross multiply
    8,202.75x = 17,572.50 × 17,572.50
  4. Step 4: Simplify right side
    8,202.75x = 308,792,756.25
  5. Step 5: Solve for x
    x = 308,792,756.25/8,202.75
  6. Step 6: Final answer
    x = 37,645.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.