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Finding the Third Proportional to 1,869.75 and 3,933.14

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Solution

The third proportional to 1,869.75 and 3,933.14 is: 8,273.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,869.75 : 3,933.14 = 3,933.14 : x
  2. Step 2: Convert to fraction form
    1,869.75/3,933.14 = 3,933.14/x
  3. Step 3: Cross multiply
    1,869.75x = 3,933.14 × 3,933.14
  4. Step 4: Simplify right side
    1,869.75x = 15,469,595.18
  5. Step 5: Solve for x
    x = 15,469,595.18/1,869.75
  6. Step 6: Final answer
    x = 8,273.62

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.