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Finding the Third Proportional to 16,742 and 25,329

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Solution

The third proportional to 16,742 and 25,329 is: 38,320.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,742 : 25,329 = 25,329 : x
  2. Step 2: Convert to fraction form
    16,742/25,329 = 25,329/x
  3. Step 3: Cross multiply
    16,742x = 25,329 × 25,329
  4. Step 4: Simplify right side
    16,742x = 641,558,241
  5. Step 5: Solve for x
    x = 641,558,241/16,742
  6. Step 6: Final answer
    x = 38,320.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.