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Finding the Third Proportional to 12,426 and 24,225

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Solution

The third proportional to 12,426 and 24,225 is: 47,227.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,426 : 24,225 = 24,225 : x
  2. Step 2: Convert to fraction form
    12,426/24,225 = 24,225/x
  3. Step 3: Cross multiply
    12,426x = 24,225 × 24,225
  4. Step 4: Simplify right side
    12,426x = 586,850,625
  5. Step 5: Solve for x
    x = 586,850,625/12,426
  6. Step 6: Final answer
    x = 47,227.64

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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.