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Finding the Third Proportional to 4,133.81 and 8,601.75

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Solution

The third proportional to 4,133.81 and 8,601.75 is: 17,898.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,133.81 : 8,601.75 = 8,601.75 : x
  2. Step 2: Convert to fraction form
    4,133.81/8,601.75 = 8,601.75/x
  3. Step 3: Cross multiply
    4,133.81x = 8,601.75 × 8,601.75
  4. Step 4: Simplify right side
    4,133.81x = 73,990,103.06
  5. Step 5: Solve for x
    x = 73,990,103.06/4,133.81
  6. Step 6: Final answer
    x = 17,898.76

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.