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Finding the Third Proportional to 17,274.50 and 36,625

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Solution

The third proportional to 17,274.50 and 36,625 is: 77,651.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,274.50 : 36,625 = 36,625 : x
  2. Step 2: Convert to fraction form
    17,274.50/36,625 = 36,625/x
  3. Step 3: Cross multiply
    17,274.50x = 36,625 × 36,625
  4. Step 4: Simplify right side
    17,274.50x = 1,341,390,625
  5. Step 5: Solve for x
    x = 1,341,390,625/17,274.50
  6. Step 6: Final answer
    x = 77,651.49

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.