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Finding the Third Proportional to 2,145.94 and 3,229.88

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Solution

The third proportional to 2,145.94 and 3,229.88 is: 4,861.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145.94 : 3,229.88 = 3,229.88 : x
  2. Step 2: Convert to fraction form
    2,145.94/3,229.88 = 3,229.88/x
  3. Step 3: Cross multiply
    2,145.94x = 3,229.88 × 3,229.88
  4. Step 4: Simplify right side
    2,145.94x = 10,432,092.52
  5. Step 5: Solve for x
    x = 10,432,092.52/2,145.94
  6. Step 6: Final answer
    x = 4,861.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.