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Finding the Third Proportional to 16,012 and 23,952

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Solution

The third proportional to 16,012 and 23,952 is: 35,829.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,012 : 23,952 = 23,952 : x
  2. Step 2: Convert to fraction form
    16,012/23,952 = 23,952/x
  3. Step 3: Cross multiply
    16,012x = 23,952 × 23,952
  4. Step 4: Simplify right side
    16,012x = 573,698,304
  5. Step 5: Solve for x
    x = 573,698,304/16,012
  6. Step 6: Final answer
    x = 35,829.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.