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Finding the Third Proportional to 5,178.94 and 12,165.19

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Solution

The third proportional to 5,178.94 and 12,165.19 is: 28,575.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,178.94 : 12,165.19 = 12,165.19 : x
  2. Step 2: Convert to fraction form
    5,178.94/12,165.19 = 12,165.19/x
  3. Step 3: Cross multiply
    5,178.94x = 12,165.19 × 12,165.19
  4. Step 4: Simplify right side
    5,178.94x = 147,991,786.91
  5. Step 5: Solve for x
    x = 147,991,786.91/5,178.94
  6. Step 6: Final answer
    x = 28,575.70

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.