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Finding the Third Proportional to 3,178.46 and 6,818.24

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Solution

The third proportional to 3,178.46 and 6,818.24 is: 14,626.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178.46 : 6,818.24 = 6,818.24 : x
  2. Step 2: Convert to fraction form
    3,178.46/6,818.24 = 6,818.24/x
  3. Step 3: Cross multiply
    3,178.46x = 6,818.24 × 6,818.24
  4. Step 4: Simplify right side
    3,178.46x = 46,488,373.26
  5. Step 5: Solve for x
    x = 46,488,373.26/3,178.46
  6. Step 6: Final answer
    x = 14,626.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.