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Finding the Third Proportional to 2,029.69 and 3,044.81

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Solution

The third proportional to 2,029.69 and 3,044.81 is: 4,567.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.69 : 3,044.81 = 3,044.81 : x
  2. Step 2: Convert to fraction form
    2,029.69/3,044.81 = 3,044.81/x
  3. Step 3: Cross multiply
    2,029.69x = 3,044.81 × 3,044.81
  4. Step 4: Simplify right side
    2,029.69x = 9,270,883.16
  5. Step 5: Solve for x
    x = 9,270,883.16/2,029.69
  6. Step 6: Final answer
    x = 4,567.64

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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.