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Finding the Third Proportional to 5,131.50 and 11,054.53

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Solution

The third proportional to 5,131.50 and 11,054.53 is: 23,814.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,131.50 : 11,054.53 = 11,054.53 : x
  2. Step 2: Convert to fraction form
    5,131.50/11,054.53 = 11,054.53/x
  3. Step 3: Cross multiply
    5,131.50x = 11,054.53 × 11,054.53
  4. Step 4: Simplify right side
    5,131.50x = 122,202,661.16
  5. Step 5: Solve for x
    x = 122,202,661.16/5,131.50
  6. Step 6: Final answer
    x = 23,814.22

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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.