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Finding the Third Proportional to 552.38 and 1,181.53

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Solution

The third proportional to 552.38 and 1,181.53 is: 2,527.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.38 : 1,181.53 = 1,181.53 : x
  2. Step 2: Convert to fraction form
    552.38/1,181.53 = 1,181.53/x
  3. Step 3: Cross multiply
    552.38x = 1,181.53 × 1,181.53
  4. Step 4: Simplify right side
    552.38x = 1,396,016.09
  5. Step 5: Solve for x
    x = 1,396,016.09/552.38
  6. Step 6: Final answer
    x = 2,527.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.