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Finding the Third Proportional to 11,469.75 and 17,970.75

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Solution

The third proportional to 11,469.75 and 17,970.75 is: 28,156.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,469.75 : 17,970.75 = 17,970.75 : x
  2. Step 2: Convert to fraction form
    11,469.75/17,970.75 = 17,970.75/x
  3. Step 3: Cross multiply
    11,469.75x = 17,970.75 × 17,970.75
  4. Step 4: Simplify right side
    11,469.75x = 322,947,855.56
  5. Step 5: Solve for x
    x = 322,947,855.56/11,469.75
  6. Step 6: Final answer
    x = 28,156.49

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.