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Finding the Third Proportional to 2,580.75 and 5,751.75

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Solution

The third proportional to 2,580.75 and 5,751.75 is: 12,819.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,580.75 : 5,751.75 = 5,751.75 : x
  2. Step 2: Convert to fraction form
    2,580.75/5,751.75 = 5,751.75/x
  3. Step 3: Cross multiply
    2,580.75x = 5,751.75 × 5,751.75
  4. Step 4: Simplify right side
    2,580.75x = 33,082,628.06
  5. Step 5: Solve for x
    x = 33,082,628.06/2,580.75
  6. Step 6: Final answer
    x = 12,819.00

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.