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Finding the Third Proportional to 3,184.63 and 6,510.97

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Solution

The third proportional to 3,184.63 and 6,510.97 is: 13,311.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184.63 : 6,510.97 = 6,510.97 : x
  2. Step 2: Convert to fraction form
    3,184.63/6,510.97 = 6,510.97/x
  3. Step 3: Cross multiply
    3,184.63x = 6,510.97 × 6,510.97
  4. Step 4: Simplify right side
    3,184.63x = 42,392,714.06
  5. Step 5: Solve for x
    x = 42,392,714.06/3,184.63
  6. Step 6: Final answer
    x = 13,311.68

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.