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Finding the Third Proportional to 18,693 and 25,182

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Solution

The third proportional to 18,693 and 25,182 is: 33,923.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,693 : 25,182 = 25,182 : x
  2. Step 2: Convert to fraction form
    18,693/25,182 = 25,182/x
  3. Step 3: Cross multiply
    18,693x = 25,182 × 25,182
  4. Step 4: Simplify right side
    18,693x = 634,133,124
  5. Step 5: Solve for x
    x = 634,133,124/18,693
  6. Step 6: Final answer
    x = 33,923.56

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.