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Finding the Third Proportional to 3,181.64 and 6,853.08

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Solution

The third proportional to 3,181.64 and 6,853.08 is: 14,761.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,181.64 : 6,853.08 = 6,853.08 : x
  2. Step 2: Convert to fraction form
    3,181.64/6,853.08 = 6,853.08/x
  3. Step 3: Cross multiply
    3,181.64x = 6,853.08 × 6,853.08
  4. Step 4: Simplify right side
    3,181.64x = 46,964,679.79
  5. Step 5: Solve for x
    x = 46,964,679.79/3,181.64
  6. Step 6: Final answer
    x = 14,761.15

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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.