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Finding the Third Proportional to 5,410.55 and 11,813.34

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Solution

The third proportional to 5,410.55 and 11,813.34 is: 25,793.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,410.55 : 11,813.34 = 11,813.34 : x
  2. Step 2: Convert to fraction form
    5,410.55/11,813.34 = 11,813.34/x
  3. Step 3: Cross multiply
    5,410.55x = 11,813.34 × 11,813.34
  4. Step 4: Simplify right side
    5,410.55x = 139,555,090.56
  5. Step 5: Solve for x
    x = 139,555,090.56/5,410.55
  6. Step 6: Final answer
    x = 25,793.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.