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Finding the Third Proportional to 2,497.39 and 5,379.22

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Solution

The third proportional to 2,497.39 and 5,379.22 is: 11,586.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.39 : 5,379.22 = 5,379.22 : x
  2. Step 2: Convert to fraction form
    2,497.39/5,379.22 = 5,379.22/x
  3. Step 3: Cross multiply
    2,497.39x = 5,379.22 × 5,379.22
  4. Step 4: Simplify right side
    2,497.39x = 28,936,036.39
  5. Step 5: Solve for x
    x = 28,936,036.39/2,497.39
  6. Step 6: Final answer
    x = 11,586.49

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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.