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Finding the Third Proportional to 1,253.81 and 2,701.27

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Solution

The third proportional to 1,253.81 and 2,701.27 is: 5,819.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.81 : 2,701.27 = 2,701.27 : x
  2. Step 2: Convert to fraction form
    1,253.81/2,701.27 = 2,701.27/x
  3. Step 3: Cross multiply
    1,253.81x = 2,701.27 × 2,701.27
  4. Step 4: Simplify right side
    1,253.81x = 7,296,835.98
  5. Step 5: Solve for x
    x = 7,296,835.98/1,253.81
  6. Step 6: Final answer
    x = 5,819.72

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.