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Finding the Third Proportional to 5,995.13 and 13,179.94

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Solution

The third proportional to 5,995.13 and 13,179.94 is: 28,975.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,995.13 : 13,179.94 = 13,179.94 : x
  2. Step 2: Convert to fraction form
    5,995.13/13,179.94 = 13,179.94/x
  3. Step 3: Cross multiply
    5,995.13x = 13,179.94 × 13,179.94
  4. Step 4: Simplify right side
    5,995.13x = 173,710,752.50
  5. Step 5: Solve for x
    x = 173,710,752.50/5,995.13
  6. Step 6: Final answer
    x = 28,975.33

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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.