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Finding the Third Proportional to 5,468.55 and 11,996.23

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Solution

The third proportional to 5,468.55 and 11,996.23 is: 26,315.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,468.55 : 11,996.23 = 11,996.23 : x
  2. Step 2: Convert to fraction form
    5,468.55/11,996.23 = 11,996.23/x
  3. Step 3: Cross multiply
    5,468.55x = 11,996.23 × 11,996.23
  4. Step 4: Simplify right side
    5,468.55x = 143,909,451.74
  5. Step 5: Solve for x
    x = 143,909,451.74/5,468.55
  6. Step 6: Final answer
    x = 26,315.81

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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.