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Finding the Third Proportional to 16,054 and 25,619

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Solution

The third proportional to 16,054 and 25,619 is: 40,882.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,054 : 25,619 = 25,619 : x
  2. Step 2: Convert to fraction form
    16,054/25,619 = 25,619/x
  3. Step 3: Cross multiply
    16,054x = 25,619 × 25,619
  4. Step 4: Simplify right side
    16,054x = 656,333,161
  5. Step 5: Solve for x
    x = 656,333,161/16,054
  6. Step 6: Final answer
    x = 40,882.84

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.