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Finding the Third Proportional to 5,664.94 and 12,180.38

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Solution

The third proportional to 5,664.94 and 12,180.38 is: 26,189.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,664.94 : 12,180.38 = 12,180.38 : x
  2. Step 2: Convert to fraction form
    5,664.94/12,180.38 = 12,180.38/x
  3. Step 3: Cross multiply
    5,664.94x = 12,180.38 × 12,180.38
  4. Step 4: Simplify right side
    5,664.94x = 148,361,535.14
  5. Step 5: Solve for x
    x = 148,361,535.14/5,664.94
  6. Step 6: Final answer
    x = 26,189.44

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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.