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Finding the Third Proportional to 17,821.69 and 27,718.03

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Solution

The third proportional to 17,821.69 and 27,718.03 is: 43,109.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,821.69 : 27,718.03 = 27,718.03 : x
  2. Step 2: Convert to fraction form
    17,821.69/27,718.03 = 27,718.03/x
  3. Step 3: Cross multiply
    17,821.69x = 27,718.03 × 27,718.03
  4. Step 4: Simplify right side
    17,821.69x = 768,289,256.38
  5. Step 5: Solve for x
    x = 768,289,256.38/17,821.69
  6. Step 6: Final answer
    x = 43,109.79

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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.