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Finding the Third Proportional to 16,032 and 23,808

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Solution

The third proportional to 16,032 and 23,808 is: 35,355.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,032 : 23,808 = 23,808 : x
  2. Step 2: Convert to fraction form
    16,032/23,808 = 23,808/x
  3. Step 3: Cross multiply
    16,032x = 23,808 × 23,808
  4. Step 4: Simplify right side
    16,032x = 566,820,864
  5. Step 5: Solve for x
    x = 566,820,864/16,032
  6. Step 6: Final answer
    x = 35,355.59

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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.