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Finding the Third Proportional to 16,752 and 23,811

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Solution

The third proportional to 16,752 and 23,811 is: 33,844.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,752 : 23,811 = 23,811 : x
  2. Step 2: Convert to fraction form
    16,752/23,811 = 23,811/x
  3. Step 3: Cross multiply
    16,752x = 23,811 × 23,811
  4. Step 4: Simplify right side
    16,752x = 566,963,721
  5. Step 5: Solve for x
    x = 566,963,721/16,752
  6. Step 6: Final answer
    x = 33,844.54

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.