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Finding the Third Proportional to 27,519.75 and 31,073.63

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Solution

The third proportional to 27,519.75 and 31,073.63 is: 35,086.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,519.75 : 31,073.63 = 31,073.63 : x
  2. Step 2: Convert to fraction form
    27,519.75/31,073.63 = 31,073.63/x
  3. Step 3: Cross multiply
    27,519.75x = 31,073.63 × 31,073.63
  4. Step 4: Simplify right side
    27,519.75x = 965,570,170.64
  5. Step 5: Solve for x
    x = 965,570,170.64/27,519.75
  6. Step 6: Final answer
    x = 35,086.44

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These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.