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Finding the Third Proportional to 5,685.75 and 13,164.75

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Solution

The third proportional to 5,685.75 and 13,164.75 is: 30,481.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,685.75 : 13,164.75 = 13,164.75 : x
  2. Step 2: Convert to fraction form
    5,685.75/13,164.75 = 13,164.75/x
  3. Step 3: Cross multiply
    5,685.75x = 13,164.75 × 13,164.75
  4. Step 4: Simplify right side
    5,685.75x = 173,310,642.56
  5. Step 5: Solve for x
    x = 173,310,642.56/5,685.75
  6. Step 6: Final answer
    x = 30,481.58

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.