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Finding the Third Proportional to 1,586 and 4,073

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Solution

The third proportional to 1,586 and 4,073 is: 10,459.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586 : 4,073 = 4,073 : x
  2. Step 2: Convert to fraction form
    1,586/4,073 = 4,073/x
  3. Step 3: Cross multiply
    1,586x = 4,073 × 4,073
  4. Step 4: Simplify right side
    1,586x = 16,589,329
  5. Step 5: Solve for x
    x = 16,589,329/1,586
  6. Step 6: Final answer
    x = 10,459.85

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Why These Related Problems?

These problems maintain the same ratio (2.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.