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Finding the Third Proportional to 16,238.50 and 19,781

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Solution

The third proportional to 16,238.50 and 19,781 is: 24,096.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,238.50 : 19,781 = 19,781 : x
  2. Step 2: Convert to fraction form
    16,238.50/19,781 = 19,781/x
  3. Step 3: Cross multiply
    16,238.50x = 19,781 × 19,781
  4. Step 4: Simplify right side
    16,238.50x = 391,287,961
  5. Step 5: Solve for x
    x = 391,287,961/16,238.50
  6. Step 6: Final answer
    x = 24,096.31

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These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.