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Finding the Third Proportional to 16,880 and 25,318

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Solution

The third proportional to 16,880 and 25,318 is: 37,974.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,880 : 25,318 = 25,318 : x
  2. Step 2: Convert to fraction form
    16,880/25,318 = 25,318/x
  3. Step 3: Cross multiply
    16,880x = 25,318 × 25,318
  4. Step 4: Simplify right side
    16,880x = 641,001,124
  5. Step 5: Solve for x
    x = 641,001,124/16,880
  6. Step 6: Final answer
    x = 37,974.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.