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Finding the Third Proportional to 35,996 and 77,296

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Solution

The third proportional to 35,996 and 77,296 is: 165,981.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,996 : 77,296 = 77,296 : x
  2. Step 2: Convert to fraction form
    35,996/77,296 = 77,296/x
  3. Step 3: Cross multiply
    35,996x = 77,296 × 77,296
  4. Step 4: Simplify right side
    35,996x = 5,974,671,616
  5. Step 5: Solve for x
    x = 5,974,671,616/35,996
  6. Step 6: Final answer
    x = 165,981.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.