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Finding the Third Proportional to 2,393.65 and 5,171.63

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Solution

The third proportional to 2,393.65 and 5,171.63 is: 11,173.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,393.65 : 5,171.63 = 5,171.63 : x
  2. Step 2: Convert to fraction form
    2,393.65/5,171.63 = 5,171.63/x
  3. Step 3: Cross multiply
    2,393.65x = 5,171.63 × 5,171.63
  4. Step 4: Simplify right side
    2,393.65x = 26,745,705.14
  5. Step 5: Solve for x
    x = 26,745,705.14/2,393.65
  6. Step 6: Final answer
    x = 11,173.61

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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.