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Finding the Third Proportional to 16,549 and 24,976

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Solution

The third proportional to 16,549 and 24,976 is: 37,694.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,549 : 24,976 = 24,976 : x
  2. Step 2: Convert to fraction form
    16,549/24,976 = 24,976/x
  3. Step 3: Cross multiply
    16,549x = 24,976 × 24,976
  4. Step 4: Simplify right side
    16,549x = 623,800,576
  5. Step 5: Solve for x
    x = 623,800,576/16,549
  6. Step 6: Final answer
    x = 37,694.16

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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.