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Finding the Third Proportional to 12,114 and 24,718

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Solution

The third proportional to 12,114 and 24,718 is: 50,435.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,114 : 24,718 = 24,718 : x
  2. Step 2: Convert to fraction form
    12,114/24,718 = 24,718/x
  3. Step 3: Cross multiply
    12,114x = 24,718 × 24,718
  4. Step 4: Simplify right side
    12,114x = 610,979,524
  5. Step 5: Solve for x
    x = 610,979,524/12,114
  6. Step 6: Final answer
    x = 50,435.82

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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.