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Finding the Third Proportional to 5,202.56 and 11,378.39

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Solution

The third proportional to 5,202.56 and 11,378.39 is: 24,885.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,202.56 : 11,378.39 = 11,378.39 : x
  2. Step 2: Convert to fraction form
    5,202.56/11,378.39 = 11,378.39/x
  3. Step 3: Cross multiply
    5,202.56x = 11,378.39 × 11,378.39
  4. Step 4: Simplify right side
    5,202.56x = 129,467,773.22
  5. Step 5: Solve for x
    x = 129,467,773.22/5,202.56
  6. Step 6: Final answer
    x = 24,885.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.