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Finding the Third Proportional to 19,186 and 25,503

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Solution

The third proportional to 19,186 and 25,503 is: 33,899.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,186 : 25,503 = 25,503 : x
  2. Step 2: Convert to fraction form
    19,186/25,503 = 25,503/x
  3. Step 3: Cross multiply
    19,186x = 25,503 × 25,503
  4. Step 4: Simplify right side
    19,186x = 650,403,009
  5. Step 5: Solve for x
    x = 650,403,009/19,186
  6. Step 6: Final answer
    x = 33,899.88

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.