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Finding the Third Proportional to 16,333 and 25,138

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Solution

The third proportional to 16,333 and 25,138 is: 38,689.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,333 : 25,138 = 25,138 : x
  2. Step 2: Convert to fraction form
    16,333/25,138 = 25,138/x
  3. Step 3: Cross multiply
    16,333x = 25,138 × 25,138
  4. Step 4: Simplify right side
    16,333x = 631,919,044
  5. Step 5: Solve for x
    x = 631,919,044/16,333
  6. Step 6: Final answer
    x = 38,689.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.