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Finding the Third Proportional to 5,120.72 and 11,193.19

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Solution

The third proportional to 5,120.72 and 11,193.19 is: 24,466.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,120.72 : 11,193.19 = 11,193.19 : x
  2. Step 2: Convert to fraction form
    5,120.72/11,193.19 = 11,193.19/x
  3. Step 3: Cross multiply
    5,120.72x = 11,193.19 × 11,193.19
  4. Step 4: Simplify right side
    5,120.72x = 125,287,446.41
  5. Step 5: Solve for x
    x = 125,287,446.41/5,120.72
  6. Step 6: Final answer
    x = 24,466.77

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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.