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Finding the Third Proportional to 16,734 and 25,926

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Solution

The third proportional to 16,734 and 25,926 is: 40,167.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,734 : 25,926 = 25,926 : x
  2. Step 2: Convert to fraction form
    16,734/25,926 = 25,926/x
  3. Step 3: Cross multiply
    16,734x = 25,926 × 25,926
  4. Step 4: Simplify right side
    16,734x = 672,157,476
  5. Step 5: Solve for x
    x = 672,157,476/16,734
  6. Step 6: Final answer
    x = 40,167.17

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.