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Finding the Third Proportional to 16,056 and 23,914

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Solution

The third proportional to 16,056 and 23,914 is: 35,617.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,056 : 23,914 = 23,914 : x
  2. Step 2: Convert to fraction form
    16,056/23,914 = 23,914/x
  3. Step 3: Cross multiply
    16,056x = 23,914 × 23,914
  4. Step 4: Simplify right side
    16,056x = 571,879,396
  5. Step 5: Solve for x
    x = 571,879,396/16,056
  6. Step 6: Final answer
    x = 35,617.80

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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.