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Finding the Third Proportional to 2,912.20 and 4,542.96

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Solution

The third proportional to 2,912.20 and 4,542.96 is: 7,086.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912.20 : 4,542.96 = 4,542.96 : x
  2. Step 2: Convert to fraction form
    2,912.20/4,542.96 = 4,542.96/x
  3. Step 3: Cross multiply
    2,912.20x = 4,542.96 × 4,542.96
  4. Step 4: Simplify right side
    2,912.20x = 20,638,494.08
  5. Step 5: Solve for x
    x = 20,638,494.08/2,912.20
  6. Step 6: Final answer
    x = 7,086.90

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.