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Finding the Third Proportional to 16,378 and 25,367

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Solution

The third proportional to 16,378 and 25,367 is: 39,289.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,378 : 25,367 = 25,367 : x
  2. Step 2: Convert to fraction form
    16,378/25,367 = 25,367/x
  3. Step 3: Cross multiply
    16,378x = 25,367 × 25,367
  4. Step 4: Simplify right side
    16,378x = 643,484,689
  5. Step 5: Solve for x
    x = 643,484,689/16,378
  6. Step 6: Final answer
    x = 39,289.58

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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.