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Finding the Third Proportional to 2,065 and 3,845

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Solution

The third proportional to 2,065 and 3,845 is: 7,159.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065 : 3,845 = 3,845 : x
  2. Step 2: Convert to fraction form
    2,065/3,845 = 3,845/x
  3. Step 3: Cross multiply
    2,065x = 3,845 × 3,845
  4. Step 4: Simplify right side
    2,065x = 14,784,025
  5. Step 5: Solve for x
    x = 14,784,025/2,065
  6. Step 6: Final answer
    x = 7,159.33

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.