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Finding the Third Proportional to 3,114.28 and 6,579.56

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Solution

The third proportional to 3,114.28 and 6,579.56 is: 13,900.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.28 : 6,579.56 = 6,579.56 : x
  2. Step 2: Convert to fraction form
    3,114.28/6,579.56 = 6,579.56/x
  3. Step 3: Cross multiply
    3,114.28x = 6,579.56 × 6,579.56
  4. Step 4: Simplify right side
    3,114.28x = 43,290,642.69
  5. Step 5: Solve for x
    x = 43,290,642.69/3,114.28
  6. Step 6: Final answer
    x = 13,900.69

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.