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Finding the Third Proportional to 2,322.56 and 3,600.56

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Solution

The third proportional to 2,322.56 and 3,600.56 is: 5,581.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.56 : 3,600.56 = 3,600.56 : x
  2. Step 2: Convert to fraction form
    2,322.56/3,600.56 = 3,600.56/x
  3. Step 3: Cross multiply
    2,322.56x = 3,600.56 × 3,600.56
  4. Step 4: Simplify right side
    2,322.56x = 12,964,050.32
  5. Step 5: Solve for x
    x = 12,964,050.32/2,322.56
  6. Step 6: Final answer
    x = 5,581.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.