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Finding the Third Proportional to 18,549 and 23,503

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Solution

The third proportional to 18,549 and 23,503 is: 29,780.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,549 : 23,503 = 23,503 : x
  2. Step 2: Convert to fraction form
    18,549/23,503 = 23,503/x
  3. Step 3: Cross multiply
    18,549x = 23,503 × 23,503
  4. Step 4: Simplify right side
    18,549x = 552,391,009
  5. Step 5: Solve for x
    x = 552,391,009/18,549
  6. Step 6: Final answer
    x = 29,780.10

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.