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Finding the Third Proportional to 36,447 and 78,636

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Solution

The third proportional to 36,447 and 78,636 is: 169,660.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,447 : 78,636 = 78,636 : x
  2. Step 2: Convert to fraction form
    36,447/78,636 = 78,636/x
  3. Step 3: Cross multiply
    36,447x = 78,636 × 78,636
  4. Step 4: Simplify right side
    36,447x = 6,183,620,496
  5. Step 5: Solve for x
    x = 6,183,620,496/36,447
  6. Step 6: Final answer
    x = 169,660.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.