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Finding the Third Proportional to 1,309.27 and 2,753.18

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Solution

The third proportional to 1,309.27 and 2,753.18 is: 5,789.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.27 : 2,753.18 = 2,753.18 : x
  2. Step 2: Convert to fraction form
    1,309.27/2,753.18 = 2,753.18/x
  3. Step 3: Cross multiply
    1,309.27x = 2,753.18 × 2,753.18
  4. Step 4: Simplify right side
    1,309.27x = 7,579,998.39
  5. Step 5: Solve for x
    x = 7,579,998.39/1,309.27
  6. Step 6: Final answer
    x = 5,789.50

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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.