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Finding the Third Proportional to 16,524 and 23,112

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Solution

The third proportional to 16,524 and 23,112 is: 32,326.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,524 : 23,112 = 23,112 : x
  2. Step 2: Convert to fraction form
    16,524/23,112 = 23,112/x
  3. Step 3: Cross multiply
    16,524x = 23,112 × 23,112
  4. Step 4: Simplify right side
    16,524x = 534,164,544
  5. Step 5: Solve for x
    x = 534,164,544/16,524
  6. Step 6: Final answer
    x = 32,326.59

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.