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Finding the Third Proportional to 3,240.56 and 5,004.56

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Solution

The third proportional to 3,240.56 and 5,004.56 is: 7,728.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,240.56 : 5,004.56 = 5,004.56 : x
  2. Step 2: Convert to fraction form
    3,240.56/5,004.56 = 5,004.56/x
  3. Step 3: Cross multiply
    3,240.56x = 5,004.56 × 5,004.56
  4. Step 4: Simplify right side
    3,240.56x = 25,045,645.82
  5. Step 5: Solve for x
    x = 25,045,645.82/3,240.56
  6. Step 6: Final answer
    x = 7,728.80

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.