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Finding the Third Proportional to 1,829.72 and 4,023.94

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Solution

The third proportional to 1,829.72 and 4,023.94 is: 8,849.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829.72 : 4,023.94 = 4,023.94 : x
  2. Step 2: Convert to fraction form
    1,829.72/4,023.94 = 4,023.94/x
  3. Step 3: Cross multiply
    1,829.72x = 4,023.94 × 4,023.94
  4. Step 4: Simplify right side
    1,829.72x = 16,192,073.00
  5. Step 5: Solve for x
    x = 16,192,073.00/1,829.72
  6. Step 6: Final answer
    x = 8,849.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.