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Finding the Third Proportional to 10,727.88 and 16,610.75

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Solution

The third proportional to 10,727.88 and 16,610.75 is: 25,719.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,727.88 : 16,610.75 = 16,610.75 : x
  2. Step 2: Convert to fraction form
    10,727.88/16,610.75 = 16,610.75/x
  3. Step 3: Cross multiply
    10,727.88x = 16,610.75 × 16,610.75
  4. Step 4: Simplify right side
    10,727.88x = 275,917,015.56
  5. Step 5: Solve for x
    x = 275,917,015.56/10,727.88
  6. Step 6: Final answer
    x = 25,719.63

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.