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Finding the Third Proportional to 12,385 and 24,149

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Solution

The third proportional to 12,385 and 24,149 is: 47,087.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,385 : 24,149 = 24,149 : x
  2. Step 2: Convert to fraction form
    12,385/24,149 = 24,149/x
  3. Step 3: Cross multiply
    12,385x = 24,149 × 24,149
  4. Step 4: Simplify right side
    12,385x = 583,174,201
  5. Step 5: Solve for x
    x = 583,174,201/12,385
  6. Step 6: Final answer
    x = 47,087.14

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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.