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Finding the Third Proportional to 3,225.24 and 4,541.92

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Solution

The third proportional to 3,225.24 and 4,541.92 is: 6,396.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,225.24 : 4,541.92 = 4,541.92 : x
  2. Step 2: Convert to fraction form
    3,225.24/4,541.92 = 4,541.92/x
  3. Step 3: Cross multiply
    3,225.24x = 4,541.92 × 4,541.92
  4. Step 4: Simplify right side
    3,225.24x = 20,629,062.08
  5. Step 5: Solve for x
    x = 20,629,062.08/3,225.24
  6. Step 6: Final answer
    x = 6,396.14

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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.