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Finding the Third Proportional to 3,149.51 and 6,623.65

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Solution

The third proportional to 3,149.51 and 6,623.65 is: 13,930.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,149.51 : 6,623.65 = 6,623.65 : x
  2. Step 2: Convert to fraction form
    3,149.51/6,623.65 = 6,623.65/x
  3. Step 3: Cross multiply
    3,149.51x = 6,623.65 × 6,623.65
  4. Step 4: Simplify right side
    3,149.51x = 43,872,718.62
  5. Step 5: Solve for x
    x = 43,872,718.62/3,149.51
  6. Step 6: Final answer
    x = 13,930.02

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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.