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Finding the Third Proportional to 16,926 and 25,875

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Solution

The third proportional to 16,926 and 25,875 is: 39,555.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,926 : 25,875 = 25,875 : x
  2. Step 2: Convert to fraction form
    16,926/25,875 = 25,875/x
  3. Step 3: Cross multiply
    16,926x = 25,875 × 25,875
  4. Step 4: Simplify right side
    16,926x = 669,515,625
  5. Step 5: Solve for x
    x = 669,515,625/16,926
  6. Step 6: Final answer
    x = 39,555.45

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.