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Finding the Third Proportional to 548.25 and 1,071

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Solution

The third proportional to 548.25 and 1,071 is: 2,092.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.25 : 1,071 = 1,071 : x
  2. Step 2: Convert to fraction form
    548.25/1,071 = 1,071/x
  3. Step 3: Cross multiply
    548.25x = 1,071 × 1,071
  4. Step 4: Simplify right side
    548.25x = 1,147,041
  5. Step 5: Solve for x
    x = 1,147,041/548.25
  6. Step 6: Final answer
    x = 2,092.19

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.