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Finding the Third Proportional to 4,065 and 8,569

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Solution

The third proportional to 4,065 and 8,569 is: 18,063.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,065 : 8,569 = 8,569 : x
  2. Step 2: Convert to fraction form
    4,065/8,569 = 8,569/x
  3. Step 3: Cross multiply
    4,065x = 8,569 × 8,569
  4. Step 4: Simplify right side
    4,065x = 73,427,761
  5. Step 5: Solve for x
    x = 73,427,761/4,065
  6. Step 6: Final answer
    x = 18,063.41

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.