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Finding the Third Proportional to 16,760 and 25,142

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Solution

The third proportional to 16,760 and 25,142 is: 37,716.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,760 : 25,142 = 25,142 : x
  2. Step 2: Convert to fraction form
    16,760/25,142 = 25,142/x
  3. Step 3: Cross multiply
    16,760x = 25,142 × 25,142
  4. Step 4: Simplify right side
    16,760x = 632,120,164
  5. Step 5: Solve for x
    x = 632,120,164/16,760
  6. Step 6: Final answer
    x = 37,716.00

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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.