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Finding the Third Proportional to 1,834.47 and 2,786.72

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Solution

The third proportional to 1,834.47 and 2,786.72 is: 4,233.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,834.47 : 2,786.72 = 2,786.72 : x
  2. Step 2: Convert to fraction form
    1,834.47/2,786.72 = 2,786.72/x
  3. Step 3: Cross multiply
    1,834.47x = 2,786.72 × 2,786.72
  4. Step 4: Simplify right side
    1,834.47x = 7,765,817.72
  5. Step 5: Solve for x
    x = 7,765,817.72/1,834.47
  6. Step 6: Final answer
    x = 4,233.27

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.