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Finding the Third Proportional to 5,016.56 and 7,452.56

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Solution

The third proportional to 5,016.56 and 7,452.56 is: 11,071.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,016.56 : 7,452.56 = 7,452.56 : x
  2. Step 2: Convert to fraction form
    5,016.56/7,452.56 = 7,452.56/x
  3. Step 3: Cross multiply
    5,016.56x = 7,452.56 × 7,452.56
  4. Step 4: Simplify right side
    5,016.56x = 55,540,687.82
  5. Step 5: Solve for x
    x = 55,540,687.82/5,016.56
  6. Step 6: Final answer
    x = 11,071.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.