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Finding the Third Proportional to 17,622.50 and 27,329.50

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Solution

The third proportional to 17,622.50 and 27,329.50 is: 42,383.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,622.50 : 27,329.50 = 27,329.50 : x
  2. Step 2: Convert to fraction form
    17,622.50/27,329.50 = 27,329.50/x
  3. Step 3: Cross multiply
    17,622.50x = 27,329.50 × 27,329.50
  4. Step 4: Simplify right side
    17,622.50x = 746,901,570.25
  5. Step 5: Solve for x
    x = 746,901,570.25/17,622.50
  6. Step 6: Final answer
    x = 42,383.41

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.