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Finding the Third Proportional to 16,679 and 35,950

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Solution

The third proportional to 16,679 and 35,950 is: 77,486.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,679 : 35,950 = 35,950 : x
  2. Step 2: Convert to fraction form
    16,679/35,950 = 35,950/x
  3. Step 3: Cross multiply
    16,679x = 35,950 × 35,950
  4. Step 4: Simplify right side
    16,679x = 1,292,402,500
  5. Step 5: Solve for x
    x = 1,292,402,500/16,679
  6. Step 6: Final answer
    x = 77,486.81

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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.