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Finding the Third Proportional to 18,076 and 25,098

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Solution

The third proportional to 18,076 and 25,098 is: 34,847.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,076 : 25,098 = 25,098 : x
  2. Step 2: Convert to fraction form
    18,076/25,098 = 25,098/x
  3. Step 3: Cross multiply
    18,076x = 25,098 × 25,098
  4. Step 4: Simplify right side
    18,076x = 629,909,604
  5. Step 5: Solve for x
    x = 629,909,604/18,076
  6. Step 6: Final answer
    x = 34,847.84

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.