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Finding the Third Proportional to 10,016.75 and 15,028.75

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Solution

The third proportional to 10,016.75 and 15,028.75 is: 22,548.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,016.75 : 15,028.75 = 15,028.75 : x
  2. Step 2: Convert to fraction form
    10,016.75/15,028.75 = 15,028.75/x
  3. Step 3: Cross multiply
    10,016.75x = 15,028.75 × 15,028.75
  4. Step 4: Simplify right side
    10,016.75x = 225,863,326.56
  5. Step 5: Solve for x
    x = 225,863,326.56/10,016.75
  6. Step 6: Final answer
    x = 22,548.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.