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Finding the Third Proportional to 12,421 and 24,218

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Solution

The third proportional to 12,421 and 24,218 is: 47,219.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,421 : 24,218 = 24,218 : x
  2. Step 2: Convert to fraction form
    12,421/24,218 = 24,218/x
  3. Step 3: Cross multiply
    12,421x = 24,218 × 24,218
  4. Step 4: Simplify right side
    12,421x = 586,511,524
  5. Step 5: Solve for x
    x = 586,511,524/12,421
  6. Step 6: Final answer
    x = 47,219.35

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.