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Finding the Third Proportional to 3,664.75 and 5,041.25

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Solution

The third proportional to 3,664.75 and 5,041.25 is: 6,934.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,664.75 : 5,041.25 = 5,041.25 : x
  2. Step 2: Convert to fraction form
    3,664.75/5,041.25 = 5,041.25/x
  3. Step 3: Cross multiply
    3,664.75x = 5,041.25 × 5,041.25
  4. Step 4: Simplify right side
    3,664.75x = 25,414,201.56
  5. Step 5: Solve for x
    x = 25,414,201.56/3,664.75
  6. Step 6: Final answer
    x = 6,934.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.