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Finding the Third Proportional to 17,488.50 and 27,279

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Solution

The third proportional to 17,488.50 and 27,279 is: 42,550.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,488.50 : 27,279 = 27,279 : x
  2. Step 2: Convert to fraction form
    17,488.50/27,279 = 27,279/x
  3. Step 3: Cross multiply
    17,488.50x = 27,279 × 27,279
  4. Step 4: Simplify right side
    17,488.50x = 744,143,841
  5. Step 5: Solve for x
    x = 744,143,841/17,488.50
  6. Step 6: Final answer
    x = 42,550.47

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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.