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Finding the Third Proportional to 1,246.31 and 2,621.81

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Solution

The third proportional to 1,246.31 and 2,621.81 is: 5,515.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246.31 : 2,621.81 = 2,621.81 : x
  2. Step 2: Convert to fraction form
    1,246.31/2,621.81 = 2,621.81/x
  3. Step 3: Cross multiply
    1,246.31x = 2,621.81 × 2,621.81
  4. Step 4: Simplify right side
    1,246.31x = 6,873,900.79
  5. Step 5: Solve for x
    x = 6,873,900.79/1,246.31
  6. Step 6: Final answer
    x = 5,515.39

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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.