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Finding the Third Proportional to 16,109 and 32,670.50

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Solution

The third proportional to 16,109 and 32,670.50 is: 66,258.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,109 : 32,670.50 = 32,670.50 : x
  2. Step 2: Convert to fraction form
    16,109/32,670.50 = 32,670.50/x
  3. Step 3: Cross multiply
    16,109x = 32,670.50 × 32,670.50
  4. Step 4: Simplify right side
    16,109x = 1,067,361,570.25
  5. Step 5: Solve for x
    x = 1,067,361,570.25/16,109
  6. Step 6: Final answer
    x = 66,258.71

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.