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Finding the Third Proportional to 22,966 and 41,399

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Solution

The third proportional to 22,966 and 41,399 is: 74,626.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,966 : 41,399 = 41,399 : x
  2. Step 2: Convert to fraction form
    22,966/41,399 = 41,399/x
  3. Step 3: Cross multiply
    22,966x = 41,399 × 41,399
  4. Step 4: Simplify right side
    22,966x = 1,713,877,201
  5. Step 5: Solve for x
    x = 1,713,877,201/22,966
  6. Step 6: Final answer
    x = 74,626.72

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.