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Finding the Third Proportional to 1,579.50 and 2,232.56

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Solution

The third proportional to 1,579.50 and 2,232.56 is: 3,155.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,579.50 : 2,232.56 = 2,232.56 : x
  2. Step 2: Convert to fraction form
    1,579.50/2,232.56 = 2,232.56/x
  3. Step 3: Cross multiply
    1,579.50x = 2,232.56 × 2,232.56
  4. Step 4: Simplify right side
    1,579.50x = 4,984,335.32
  5. Step 5: Solve for x
    x = 4,984,335.32/1,579.50
  6. Step 6: Final answer
    x = 3,155.64

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.