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Finding the Third Proportional to 3,869.96 and 5,813.49

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Solution

The third proportional to 3,869.96 and 5,813.49 is: 8,733.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,869.96 : 5,813.49 = 5,813.49 : x
  2. Step 2: Convert to fraction form
    3,869.96/5,813.49 = 5,813.49/x
  3. Step 3: Cross multiply
    3,869.96x = 5,813.49 × 5,813.49
  4. Step 4: Simplify right side
    3,869.96x = 33,796,668.71
  5. Step 5: Solve for x
    x = 33,796,668.71/3,869.96
  6. Step 6: Final answer
    x = 8,733.07

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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.