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Finding the Third Proportional to 16,001 and 24,906.50

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Solution

The third proportional to 16,001 and 24,906.50 is: 38,768.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,001 : 24,906.50 = 24,906.50 : x
  2. Step 2: Convert to fraction form
    16,001/24,906.50 = 24,906.50/x
  3. Step 3: Cross multiply
    16,001x = 24,906.50 × 24,906.50
  4. Step 4: Simplify right side
    16,001x = 620,333,742.25
  5. Step 5: Solve for x
    x = 620,333,742.25/16,001
  6. Step 6: Final answer
    x = 38,768.44

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.