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Finding the Third Proportional to 3,169.44 and 4,638.83

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Solution

The third proportional to 3,169.44 and 4,638.83 is: 6,789.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,169.44 : 4,638.83 = 4,638.83 : x
  2. Step 2: Convert to fraction form
    3,169.44/4,638.83 = 4,638.83/x
  3. Step 3: Cross multiply
    3,169.44x = 4,638.83 × 4,638.83
  4. Step 4: Simplify right side
    3,169.44x = 21,518,762.61
  5. Step 5: Solve for x
    x = 21,518,762.61/3,169.44
  6. Step 6: Final answer
    x = 6,789.45

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.