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Finding the Third Proportional to 18,463 and 39,551

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Solution

The third proportional to 18,463 and 39,551 is: 84,725.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,463 : 39,551 = 39,551 : x
  2. Step 2: Convert to fraction form
    18,463/39,551 = 39,551/x
  3. Step 3: Cross multiply
    18,463x = 39,551 × 39,551
  4. Step 4: Simplify right side
    18,463x = 1,564,281,601
  5. Step 5: Solve for x
    x = 1,564,281,601/18,463
  6. Step 6: Final answer
    x = 84,725.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.