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Finding the Third Proportional to 12,195 and 24,966

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Solution

The third proportional to 12,195 and 24,966 is: 51,111.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,195 : 24,966 = 24,966 : x
  2. Step 2: Convert to fraction form
    12,195/24,966 = 24,966/x
  3. Step 3: Cross multiply
    12,195x = 24,966 × 24,966
  4. Step 4: Simplify right side
    12,195x = 623,301,156
  5. Step 5: Solve for x
    x = 623,301,156/12,195
  6. Step 6: Final answer
    x = 51,111.21

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.