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Finding the Third Proportional to 12,438 and 24,245

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Solution

The third proportional to 12,438 and 24,245 is: 47,260.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,438 : 24,245 = 24,245 : x
  2. Step 2: Convert to fraction form
    12,438/24,245 = 24,245/x
  3. Step 3: Cross multiply
    12,438x = 24,245 × 24,245
  4. Step 4: Simplify right side
    12,438x = 587,820,025
  5. Step 5: Solve for x
    x = 587,820,025/12,438
  6. Step 6: Final answer
    x = 47,260.01

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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.