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Finding the Third Proportional to 2,065.71 and 4,344.05

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Solution

The third proportional to 2,065.71 and 4,344.05 is: 9,135.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.71 : 4,344.05 = 4,344.05 : x
  2. Step 2: Convert to fraction form
    2,065.71/4,344.05 = 4,344.05/x
  3. Step 3: Cross multiply
    2,065.71x = 4,344.05 × 4,344.05
  4. Step 4: Simplify right side
    2,065.71x = 18,870,743.25
  5. Step 5: Solve for x
    x = 18,870,743.25/2,065.71
  6. Step 6: Final answer
    x = 9,135.23

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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.