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Finding the Third Proportional to 3,579.75 and 7,256.81

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Solution

The third proportional to 3,579.75 and 7,256.81 is: 14,710.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,579.75 : 7,256.81 = 7,256.81 : x
  2. Step 2: Convert to fraction form
    3,579.75/7,256.81 = 7,256.81/x
  3. Step 3: Cross multiply
    3,579.75x = 7,256.81 × 7,256.81
  4. Step 4: Simplify right side
    3,579.75x = 52,661,327.66
  5. Step 5: Solve for x
    x = 52,661,327.66/3,579.75
  6. Step 6: Final answer
    x = 14,710.90

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.