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Finding the Third Proportional to 7,348.22 and 11,170.41

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Solution

The third proportional to 7,348.22 and 11,170.41 is: 16,980.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,348.22 : 11,170.41 = 11,170.41 : x
  2. Step 2: Convert to fraction form
    7,348.22/11,170.41 = 11,170.41/x
  3. Step 3: Cross multiply
    7,348.22x = 11,170.41 × 11,170.41
  4. Step 4: Simplify right side
    7,348.22x = 124,777,975.79
  5. Step 5: Solve for x
    x = 124,777,975.79/7,348.22
  6. Step 6: Final answer
    x = 16,980.71

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.