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Finding the Third Proportional to 1,919.81 and 2,936.81

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Solution

The third proportional to 1,919.81 and 2,936.81 is: 4,492.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,919.81 : 2,936.81 = 2,936.81 : x
  2. Step 2: Convert to fraction form
    1,919.81/2,936.81 = 2,936.81/x
  3. Step 3: Cross multiply
    1,919.81x = 2,936.81 × 2,936.81
  4. Step 4: Simplify right side
    1,919.81x = 8,624,867.66
  5. Step 5: Solve for x
    x = 8,624,867.66/1,919.81
  6. Step 6: Final answer
    x = 4,492.56

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.