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Finding the Third Proportional to 5,972 and 8,742

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Solution

The third proportional to 5,972 and 8,742 is: 12,796.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,972 : 8,742 = 8,742 : x
  2. Step 2: Convert to fraction form
    5,972/8,742 = 8,742/x
  3. Step 3: Cross multiply
    5,972x = 8,742 × 8,742
  4. Step 4: Simplify right side
    5,972x = 76,422,564
  5. Step 5: Solve for x
    x = 76,422,564/5,972
  6. Step 6: Final answer
    x = 12,796.81

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.