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Finding the Third Proportional to 5,986.41 and 13,149.84

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Solution

The third proportional to 5,986.41 and 13,149.84 is: 28,885.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,986.41 : 13,149.84 = 13,149.84 : x
  2. Step 2: Convert to fraction form
    5,986.41/13,149.84 = 13,149.84/x
  3. Step 3: Cross multiply
    5,986.41x = 13,149.84 × 13,149.84
  4. Step 4: Simplify right side
    5,986.41x = 172,918,390.65
  5. Step 5: Solve for x
    x = 172,918,390.65/5,986.41
  6. Step 6: Final answer
    x = 28,885.17

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.