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Finding the Third Proportional to 2,548.75 and 3,775.75

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Solution

The third proportional to 2,548.75 and 3,775.75 is: 5,593.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,548.75 : 3,775.75 = 3,775.75 : x
  2. Step 2: Convert to fraction form
    2,548.75/3,775.75 = 3,775.75/x
  3. Step 3: Cross multiply
    2,548.75x = 3,775.75 × 3,775.75
  4. Step 4: Simplify right side
    2,548.75x = 14,256,288.06
  5. Step 5: Solve for x
    x = 14,256,288.06/2,548.75
  6. Step 6: Final answer
    x = 5,593.44

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.