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Finding the Third Proportional to 12,184 and 24,880

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Solution

The third proportional to 12,184 and 24,880 is: 50,805.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,184 : 24,880 = 24,880 : x
  2. Step 2: Convert to fraction form
    12,184/24,880 = 24,880/x
  3. Step 3: Cross multiply
    12,184x = 24,880 × 24,880
  4. Step 4: Simplify right side
    12,184x = 619,014,400
  5. Step 5: Solve for x
    x = 619,014,400/12,184
  6. Step 6: Final answer
    x = 50,805.52

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.