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Finding the Third Proportional to 16,046 and 23,936

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Solution

The third proportional to 16,046 and 23,936 is: 35,705.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,046 : 23,936 = 23,936 : x
  2. Step 2: Convert to fraction form
    16,046/23,936 = 23,936/x
  3. Step 3: Cross multiply
    16,046x = 23,936 × 23,936
  4. Step 4: Simplify right side
    16,046x = 572,932,096
  5. Step 5: Solve for x
    x = 572,932,096/16,046
  6. Step 6: Final answer
    x = 35,705.60

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.