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Finding the Third Proportional to 548.53 and 825.11

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Solution

The third proportional to 548.53 and 825.11 is: 1,241.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.53 : 825.11 = 825.11 : x
  2. Step 2: Convert to fraction form
    548.53/825.11 = 825.11/x
  3. Step 3: Cross multiply
    548.53x = 825.11 × 825.11
  4. Step 4: Simplify right side
    548.53x = 680,803.87
  5. Step 5: Solve for x
    x = 680,803.87/548.53
  6. Step 6: Final answer
    x = 1,241.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.