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Finding the Third Proportional to 24,784 and 51,616

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Solution

The third proportional to 24,784 and 51,616 is: 107,497.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,784 : 51,616 = 51,616 : x
  2. Step 2: Convert to fraction form
    24,784/51,616 = 51,616/x
  3. Step 3: Cross multiply
    24,784x = 51,616 × 51,616
  4. Step 4: Simplify right side
    24,784x = 2,664,211,456
  5. Step 5: Solve for x
    x = 2,664,211,456/24,784
  6. Step 6: Final answer
    x = 107,497.23

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.