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Finding the Third Proportional to 17,209.50 and 23,322

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Solution

The third proportional to 17,209.50 and 23,322 is: 31,605.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,209.50 : 23,322 = 23,322 : x
  2. Step 2: Convert to fraction form
    17,209.50/23,322 = 23,322/x
  3. Step 3: Cross multiply
    17,209.50x = 23,322 × 23,322
  4. Step 4: Simplify right side
    17,209.50x = 543,915,684
  5. Step 5: Solve for x
    x = 543,915,684/17,209.50
  6. Step 6: Final answer
    x = 31,605.55

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.