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Finding the Third Proportional to 550.13 and 1,186.31

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Solution

The third proportional to 550.13 and 1,186.31 is: 2,558.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.13 : 1,186.31 = 1,186.31 : x
  2. Step 2: Convert to fraction form
    550.13/1,186.31 = 1,186.31/x
  3. Step 3: Cross multiply
    550.13x = 1,186.31 × 1,186.31
  4. Step 4: Simplify right side
    550.13x = 1,407,337.35
  5. Step 5: Solve for x
    x = 1,407,337.35/550.13
  6. Step 6: Final answer
    x = 2,558.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.