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Finding the Third Proportional to 16,364 and 25,167

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Solution

The third proportional to 16,364 and 25,167 is: 38,705.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,364 : 25,167 = 25,167 : x
  2. Step 2: Convert to fraction form
    16,364/25,167 = 25,167/x
  3. Step 3: Cross multiply
    16,364x = 25,167 × 25,167
  4. Step 4: Simplify right side
    16,364x = 633,377,889
  5. Step 5: Solve for x
    x = 633,377,889/16,364
  6. Step 6: Final answer
    x = 38,705.57

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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.