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Finding the Third Proportional to 16,057 and 25,573

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Solution

The third proportional to 16,057 and 25,573 is: 40,728.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,057 : 25,573 = 25,573 : x
  2. Step 2: Convert to fraction form
    16,057/25,573 = 25,573/x
  3. Step 3: Cross multiply
    16,057x = 25,573 × 25,573
  4. Step 4: Simplify right side
    16,057x = 653,978,329
  5. Step 5: Solve for x
    x = 653,978,329/16,057
  6. Step 6: Final answer
    x = 40,728.55

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.