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Finding the Third Proportional to 18,697 and 25,185

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Solution

The third proportional to 18,697 and 25,185 is: 33,924.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,697 : 25,185 = 25,185 : x
  2. Step 2: Convert to fraction form
    18,697/25,185 = 25,185/x
  3. Step 3: Cross multiply
    18,697x = 25,185 × 25,185
  4. Step 4: Simplify right side
    18,697x = 634,284,225
  5. Step 5: Solve for x
    x = 634,284,225/18,697
  6. Step 6: Final answer
    x = 33,924.38

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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.