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Finding the Third Proportional to 5,131.50 and 11,081.63

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Solution

The third proportional to 5,131.50 and 11,081.63 is: 23,931.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,131.50 : 11,081.63 = 11,081.63 : x
  2. Step 2: Convert to fraction form
    5,131.50/11,081.63 = 11,081.63/x
  3. Step 3: Cross multiply
    5,131.50x = 11,081.63 × 11,081.63
  4. Step 4: Simplify right side
    5,131.50x = 122,802,412.64
  5. Step 5: Solve for x
    x = 122,802,412.64/5,131.50
  6. Step 6: Final answer
    x = 23,931.09

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