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Finding the Third Proportional to 16,732 and 25,892

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Solution

The third proportional to 16,732 and 25,892 is: 40,066.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,732 : 25,892 = 25,892 : x
  2. Step 2: Convert to fraction form
    16,732/25,892 = 25,892/x
  3. Step 3: Cross multiply
    16,732x = 25,892 × 25,892
  4. Step 4: Simplify right side
    16,732x = 670,395,664
  5. Step 5: Solve for x
    x = 670,395,664/16,732
  6. Step 6: Final answer
    x = 40,066.68

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.