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Finding the Third Proportional to 2,553 and 5,493.75

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Solution

The third proportional to 2,553 and 5,493.75 is: 11,821.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,553 : 5,493.75 = 5,493.75 : x
  2. Step 2: Convert to fraction form
    2,553/5,493.75 = 5,493.75/x
  3. Step 3: Cross multiply
    2,553x = 5,493.75 × 5,493.75
  4. Step 4: Simplify right side
    2,553x = 30,181,289.06
  5. Step 5: Solve for x
    x = 30,181,289.06/2,553
  6. Step 6: Final answer
    x = 11,821.89

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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.