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Finding the Third Proportional to 16,976 and 35,114

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Solution

The third proportional to 16,976 and 35,114 is: 72,631.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,976 : 35,114 = 35,114 : x
  2. Step 2: Convert to fraction form
    16,976/35,114 = 35,114/x
  3. Step 3: Cross multiply
    16,976x = 35,114 × 35,114
  4. Step 4: Simplify right side
    16,976x = 1,232,992,996
  5. Step 5: Solve for x
    x = 1,232,992,996/16,976
  6. Step 6: Final answer
    x = 72,631.54

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.