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Finding the Third Proportional to 12,200 and 24,931

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Solution

The third proportional to 12,200 and 24,931 is: 50,947.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,200 : 24,931 = 24,931 : x
  2. Step 2: Convert to fraction form
    12,200/24,931 = 24,931/x
  3. Step 3: Cross multiply
    12,200x = 24,931 × 24,931
  4. Step 4: Simplify right side
    12,200x = 621,554,761
  5. Step 5: Solve for x
    x = 621,554,761/12,200
  6. Step 6: Final answer
    x = 50,947.11

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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.