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Finding the Third Proportional to 16,346 and 25,311

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Solution

The third proportional to 16,346 and 25,311 is: 39,192.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,346 : 25,311 = 25,311 : x
  2. Step 2: Convert to fraction form
    16,346/25,311 = 25,311/x
  3. Step 3: Cross multiply
    16,346x = 25,311 × 25,311
  4. Step 4: Simplify right side
    16,346x = 640,646,721
  5. Step 5: Solve for x
    x = 640,646,721/16,346
  6. Step 6: Final answer
    x = 39,192.87

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Why These Related Problems?

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