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Finding the Third Proportional to 16,415 and 24,616

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Solution

The third proportional to 16,415 and 24,616 is: 36,914.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,415 : 24,616 = 24,616 : x
  2. Step 2: Convert to fraction form
    16,415/24,616 = 24,616/x
  3. Step 3: Cross multiply
    16,415x = 24,616 × 24,616
  4. Step 4: Simplify right side
    16,415x = 605,947,456
  5. Step 5: Solve for x
    x = 605,947,456/16,415
  6. Step 6: Final answer
    x = 36,914.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.