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Finding the Third Proportional to 2,032.69 and 3,049.04

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Solution

The third proportional to 2,032.69 and 3,049.04 is: 4,573.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.69 : 3,049.04 = 3,049.04 : x
  2. Step 2: Convert to fraction form
    2,032.69/3,049.04 = 3,049.04/x
  3. Step 3: Cross multiply
    2,032.69x = 3,049.04 × 3,049.04
  4. Step 4: Simplify right side
    2,032.69x = 9,296,638.46
  5. Step 5: Solve for x
    x = 9,296,638.46/2,032.69
  6. Step 6: Final answer
    x = 4,573.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.