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Finding the Third Proportional to 11,122.50 and 17,321.63

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Solution

The third proportional to 11,122.50 and 17,321.63 is: 26,975.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,122.50 : 17,321.63 = 17,321.63 : x
  2. Step 2: Convert to fraction form
    11,122.50/17,321.63 = 17,321.63/x
  3. Step 3: Cross multiply
    11,122.50x = 17,321.63 × 17,321.63
  4. Step 4: Simplify right side
    11,122.50x = 300,038,692.64
  5. Step 5: Solve for x
    x = 300,038,692.64/11,122.50
  6. Step 6: Final answer
    x = 26,975.83

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.