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Finding the Third Proportional to 2,324.75 and 3,314.38

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Solution

The third proportional to 2,324.75 and 3,314.38 is: 4,725.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324.75 : 3,314.38 = 3,314.38 : x
  2. Step 2: Convert to fraction form
    2,324.75/3,314.38 = 3,314.38/x
  3. Step 3: Cross multiply
    2,324.75x = 3,314.38 × 3,314.38
  4. Step 4: Simplify right side
    2,324.75x = 10,985,081.64
  5. Step 5: Solve for x
    x = 10,985,081.64/2,324.75
  6. Step 6: Final answer
    x = 4,725.27

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.