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Finding the Third Proportional to 5,406.75 and 11,633.63

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Solution

The third proportional to 5,406.75 and 11,633.63 is: 25,031.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,406.75 : 11,633.63 = 11,633.63 : x
  2. Step 2: Convert to fraction form
    5,406.75/11,633.63 = 11,633.63/x
  3. Step 3: Cross multiply
    5,406.75x = 11,633.63 × 11,633.63
  4. Step 4: Simplify right side
    5,406.75x = 135,341,230.64
  5. Step 5: Solve for x
    x = 135,341,230.64/5,406.75
  6. Step 6: Final answer
    x = 25,031.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.