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Finding the Third Proportional to 2,453 and 5,933

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Solution

The third proportional to 2,453 and 5,933 is: 14,349.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,453 : 5,933 = 5,933 : x
  2. Step 2: Convert to fraction form
    2,453/5,933 = 5,933/x
  3. Step 3: Cross multiply
    2,453x = 5,933 × 5,933
  4. Step 4: Simplify right side
    2,453x = 35,200,489
  5. Step 5: Solve for x
    x = 35,200,489/2,453
  6. Step 6: Final answer
    x = 14,349.98

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.