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Finding the Third Proportional to 1,371.73 and 3,236.84

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Solution

The third proportional to 1,371.73 and 3,236.84 is: 7,637.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,371.73 : 3,236.84 = 3,236.84 : x
  2. Step 2: Convert to fraction form
    1,371.73/3,236.84 = 3,236.84/x
  3. Step 3: Cross multiply
    1,371.73x = 3,236.84 × 3,236.84
  4. Step 4: Simplify right side
    1,371.73x = 10,477,106.89
  5. Step 5: Solve for x
    x = 10,477,106.89/1,371.73
  6. Step 6: Final answer
    x = 7,637.90

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.