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Finding the Third Proportional to 5,416.88 and 11,263.22

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Solution

The third proportional to 5,416.88 and 11,263.22 is: 23,419.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,416.88 : 11,263.22 = 11,263.22 : x
  2. Step 2: Convert to fraction form
    5,416.88/11,263.22 = 11,263.22/x
  3. Step 3: Cross multiply
    5,416.88x = 11,263.22 × 11,263.22
  4. Step 4: Simplify right side
    5,416.88x = 126,860,096.61
  5. Step 5: Solve for x
    x = 126,860,096.61/5,416.88
  6. Step 6: Final answer
    x = 23,419.42

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.