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Finding the Third Proportional to 549.05 and 1,182.05

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Solution

The third proportional to 549.05 and 1,182.05 is: 2,544.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.05 : 1,182.05 = 1,182.05 : x
  2. Step 2: Convert to fraction form
    549.05/1,182.05 = 1,182.05/x
  3. Step 3: Cross multiply
    549.05x = 1,182.05 × 1,182.05
  4. Step 4: Simplify right side
    549.05x = 1,397,234.81
  5. Step 5: Solve for x
    x = 1,397,234.81/549.05
  6. Step 6: Final answer
    x = 2,544.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.