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Finding the Third Proportional to 3,149.30 and 6,622.17

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Solution

The third proportional to 3,149.30 and 6,622.17 is: 13,924.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,149.30 : 6,622.17 = 6,622.17 : x
  2. Step 2: Convert to fraction form
    3,149.30/6,622.17 = 6,622.17/x
  3. Step 3: Cross multiply
    3,149.30x = 6,622.17 × 6,622.17
  4. Step 4: Simplify right side
    3,149.30x = 43,853,160.34
  5. Step 5: Solve for x
    x = 43,853,160.34/3,149.30
  6. Step 6: Final answer
    x = 13,924.75

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.