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Finding the Third Proportional to 1,869.05 and 3,931.73

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Solution

The third proportional to 1,869.05 and 3,931.73 is: 8,270.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,869.05 : 3,931.73 = 3,931.73 : x
  2. Step 2: Convert to fraction form
    1,869.05/3,931.73 = 3,931.73/x
  3. Step 3: Cross multiply
    1,869.05x = 3,931.73 × 3,931.73
  4. Step 4: Simplify right side
    1,869.05x = 15,458,535.20
  5. Step 5: Solve for x
    x = 15,458,535.20/1,869.05
  6. Step 6: Final answer
    x = 8,270.81

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