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Finding the Third Proportional to 13,212.56 and 17,613.84

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Solution

The third proportional to 13,212.56 and 17,613.84 is: 23,481.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,212.56 : 17,613.84 = 17,613.84 : x
  2. Step 2: Convert to fraction form
    13,212.56/17,613.84 = 17,613.84/x
  3. Step 3: Cross multiply
    13,212.56x = 17,613.84 × 17,613.84
  4. Step 4: Simplify right side
    13,212.56x = 310,247,491.65
  5. Step 5: Solve for x
    x = 310,247,491.65/13,212.56
  6. Step 6: Final answer
    x = 23,481.25

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.