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Finding the Third Proportional to 2,940.05 and 6,341.73

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Solution

The third proportional to 2,940.05 and 6,341.73 is: 13,679.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,940.05 : 6,341.73 = 6,341.73 : x
  2. Step 2: Convert to fraction form
    2,940.05/6,341.73 = 6,341.73/x
  3. Step 3: Cross multiply
    2,940.05x = 6,341.73 × 6,341.73
  4. Step 4: Simplify right side
    2,940.05x = 40,217,545.34
  5. Step 5: Solve for x
    x = 40,217,545.34/2,940.05
  6. Step 6: Final answer
    x = 13,679.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.