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Finding the Third Proportional to 24,212 and 36,680

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Solution

The third proportional to 24,212 and 36,680 is: 55,568.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,212 : 36,680 = 36,680 : x
  2. Step 2: Convert to fraction form
    24,212/36,680 = 36,680/x
  3. Step 3: Cross multiply
    24,212x = 36,680 × 36,680
  4. Step 4: Simplify right side
    24,212x = 1,345,422,400
  5. Step 5: Solve for x
    x = 1,345,422,400/24,212
  6. Step 6: Final answer
    x = 55,568.41

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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.